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Questions tagged [graphing-functions]

Questions regarding the plotting or graphing of functions. Questions about graphs with vertices and edges should use the (graph-theory) tag instead.

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How can I understand how to draw the graph of the function $|x-a|$? [on hold]

How can I draw the graph of this function in related to $a$ ? $$ f(x) = |x-a| $$
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1answer
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$x \in \mathbb{R}^2$ has $f(x)$ plotted on a $\mathbb{R}^3$ mesh like $(x,y,f(x,y))$. So is $f \in \mathbb{R}, \mathbb{R}^2$ or $\in \mathbb{R}^3$?

$x \in \mathbb{R}^2$ has $f(x)$ plotted on a $\mathbb{R}^3$ mesh like $(x,y,f(x,y))$. So is $f \in \mathbb{R}, \mathbb{R}^2$ or $\in \mathbb{R}^3$? Clearly $f: \mathbb{R}^2 \rightarrow \mathbb{R}$. ...
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1answer
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Objects moving on a plane

Object 1 starting at point (0,0) on the coordinate plane moves to right at 1 unit per second. Another object (object 2) starts at (x,y), moving half the distance to object 1 each second (following a ...
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1answer
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How do I find the length of the polar spiral $r = a\cdot \theta^2 - 1 + b\cdot \theta$?

How do I find the length of this polar spiral? $$r = a\cdot \theta^2 - 1 + b\cdot \theta,$$ where $a$ and $b$ are variables.
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2answers
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Exponential function help.

I have the following problem: Give a formula for the function illustrated using a vertical shift of an exponential function. The two points marked on the graph are 𝐴=(−1,15) and B=(1,6). The red ...
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0answers
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Integral representation of time, transforming a graph

I have acquired a solution to a system of differential equations in a parametric form: \begin{equation} x= x_{0}u \end{equation} \begin{equation} y=-x_{0}u+\frac{\gamma}{\beta}\ln u - \frac{C_{1}}{\...
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0answers
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Drawing graphs of parametric equations

the SIR model is an epidemiological model which sorts the whole population into three subclasses. x(t)(susceptibles), y(t)(infected), z(t)(recovered), with initial populations $x(0)= N_{1},y(0) = N_{2}...
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Graphing the SIR model

the SIR model is an epidemiological model which sorts the whole population into three subclasses. x(t)(susceptibles), y(t)(infected), z(t)(recovered), with initial populations $x(0)= N_{1},y(0) = N_{2}...
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0answers
10 views

Different functions, same average result

Im working on a combat mechanic for my game. Suppose i have 2 axis. X axis is accuracy. Ranges from 0% to 100%. Is randomly generated. Y axis is strength. Could be any number. Let's go with it being ...
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0answers
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Was my skepsis justified?

The other day I got asked to answer a survey, in order to get to know, why people sometimes have problems learning limits. I got asked some, in my humble opinion, rather easy questions for a math ...
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Inverse trigonometric formula logic?

What is the logic behind adding/subtracting pi in the above formulas? I have heard from people that graphs can help but I'm not sure how.
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2answers
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What is the main difference between shift and a stretch in Transformation of functions?

Recall The shift in a nutshell $$y = f(x) + c $$ and stretch $$y = f(x) * c $$ We actually not do any nothing except we duplicate the + many of times in stretching! Is there is anything special ...
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3answers
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Given only the slope, find the shortest distance from a line to a point on the x-axis

I have the following amusing question. Suppose that the red dot is the point $x = -1$ The blue line is the line crossing the origin with slope $-1/k, k > 0$ I wish to find the length of the ...
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1answer
21 views

Finding the Laplace transform from a graph

Find $\mathcal{L}(F(t))$ where $F(t)$ is the perioidic function shown graphically below: I know a few basic things, but don't know where to get started. For example, I know that the period, T = 2, ...
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0answers
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How to create a completely asymmetrically, closed, surface?

First, hello and good day to you all, i hope you can either answer my question or at least give further background to my investigative exploits. I was considering, as of late, how you would go about ...
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0answers
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Can this clamp function (designed for calculators without ABS) be optimized?

I realized one day that I could evaluate whether a value is negative or not with one simple function: $$\frac{x}{\sqrt{x^2}}$$ This would return -1 if x is negative, and 1 is x is positive. I then ...
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Multiple questions on graphing: Cusps, inflexion points, etc…

Sorry, I do not know how to use latex, so I have resorted to images. I have a few questions on graphing that have not been answered from just textbook work. It is specifically on square root ...
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3answers
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Plot of $\arctan\left(\frac{x-1}{x+1}\right) - \arctan\left(x\right)$

So this gives a strange "step" plot, kind of like a signum plot. I came across a formula for the substraction of atans, however i would like to know whether there is a simpler way of achieving this ...
1
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1answer
25 views

Graphing absolute value inside absolute value equation

How would I graph an equation with an absolute value inside an absolute value? For example, $\left|-\left|x\right|+1\right|+\left|y-2\right|=3$ I tried graphing this on Desmos and it gave me some ...
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2answers
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slope of a linear function in semi-log plot

I have a decreasing linear function. So,the slope of this function df/dt <0. Now, if we plot this function in a semi-log plot with log(t) in horizontal axis and y in vertical axis, can we say that ...
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1answer
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Software for Mac or app that lets you draw function graphs

Does anyone know if there's a software or app that lets you draw functions and then write out its equations automatically? I know that GeoGebra does it but all the way around. I've been searching and ...
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0answers
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Combine plots in Maxima

I want to combine the following plots as one output figure: ...
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3answers
40 views

If $z = x + iy$ is a complex number, how do I sketch the set of points that will satisfy the following: $|z − 2i| = |z − 2|$? [closed]

How would one proceed to graph this type of complex equation? Is there a general way of proceeding?
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0answers
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How to simplify a diagonal line pattern formula

I've got the following formula: $$ clamp(floor(frac((x+y)*5) + 0.2) + floor(frac((y-x)*5) + 0.2)) $$ Frac here means fractional part $frac(x) = x - floor(x)$. Clamp means $max(0,min(x,1))$. This ...
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0answers
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GNUPLOT v/s. ORIGIN plotting (Smoothing using B-Spline)

This is pretty common question on smoothing of data in Gnuplot. My question, however, relates to smoothing of current vs. voltage data (acquired by applying triangular wave potential) in Origin vs. ...
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1answer
29 views

Behavior of a linear regression when using a LogLog-Plot

I am plotting some data on a Log-Log-Plot and wanted to do a linear regression. But because of the Log-Log-Scale it isn't a straight line. It is a line which makes a kink in the center. My supervisor ...
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1answer
15 views

A function sum with a bump

Is there a function, $f(x)$, concave up on the interval $[-1,1]$, such that $f(-x)+f(x)$ looks like a "w" centered at zero within $[-1,1]$ (I.e. it has a bump at zero). If so, what is that function?
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1answer
40 views

Change of coordinates vs change of shape

It is an elementary fact that we are able to change coordinates system to new one. for example in Cartesian coordinates $x^2+y^2=1$ illustrates a circle. Changing to polar coordinates, this equation ...
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0answers
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looking for equation to a specific spiral incrementing by a specific rate

what would be the equation to a spiral which increments by the sum of the previous increment and the increment? thus the turn gaps would be 0.1 0.2 0.4 0.8 1.6 3.2 6.5 13 26 52 104 what I have is r ...
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2answers
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two points and an equation

So I think this is the question, I forget how its worded exactly, so bear with me. Suppose we have an equation $5x^3 + bx^2 + cx + d$ cirve that passes through the points $(0,0)$ and $(2,0)$ and the ...
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4answers
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Better method for graphing functions with greater complexity

I spent perhaps 30 mins graphing the following function. $$y = \frac{1}{|{2x-x^2}|} + \frac{1}{|{2x+x^2}|}$$ I proceeded by first graphing the first half of the function $y = \frac{1}{|{2x-x^2}|}$...
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2answers
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Is there supposed to be a difference between $x^{1/3}$ and $\sqrt[3]{x}$ ? (Wolfram Alpha shows different results)

Compare these two functions: plot $\sqrt[3]{x}$ and plot $x^{1/3}$ I understand how roots are ambiguous, and Wolfram Alpha apparently takes the principle root with the $x^{1/3}$ case and the real ...
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1answer
42 views

Easiest way to draw function with Euler's Number

What is the easiest way to draw a function like this one?$$\frac{1}{7}e^{-2x^2}(1-4x^2)$$ I calculated the roots $x=-1/2$, $x=1/2$ and limit which is equal to $0$ I can't just substitute some values ...
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1answer
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How to shorten a line but maintain its angle? [closed]

I have a line that looks like this: to draw this line i have the following: point A: (x,y) point B: (x,y) so for example, i will be given this path: (90,20),(400,300) and then i can draw a line ...
2
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1answer
178 views

Find the exact value of $x$ if $\frac{\sin x}x =\sqrt x$

It is quite easy to find that x is approximately .802. Is there any way in which we can solve this equation to find the exact value of x? $\frac{\sin x}{x} = x^{1/2}$
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0answers
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Looking for an algorithm to create an interpolated curve function with specific requirements

I need this algorithm for an editing program to allow users to adjust curves, and I want those curves to conform to some particular requirements. For simplicity of use I would like to be able to ...
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0answers
61 views

Plot of a function given by an integral.

I want to plot the following integral as a function of $x$ but Mathematica fails to draw it even using the numerical integration. $$f(x)=\displaystyle\int_0^{\infty } \left(\sum _{n=1}^{\infty } n^4e^{...
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0answers
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Smoothing implicit plots with Maxima / wxMaxima

I'm using Maxima for university mathematics and would like to improve the appearance of the graphs that it generates. Previously, when I'd used plot2d or ...
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1answer
40 views

From a graph, find a pair of functions that are added, subtracted, multiplied or divided to form the graph

Suppose we are given the functions: $f(x) = x$ $g(x) = x^2$ $h(x) = \sin(x)$ $m(x) = 2^x$ $n(x) = log_2(x)$ We are then asked to express each graph as the addition, subtraction, multiplication ...
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1answer
26 views

Logarithmic function that outputs [0.25, 1] when $x$ is [1,$n$] [closed]

I'm looking for a formula that produces a logarithmic curve that meets the following conditions: Given a set of positive integers from 1 to $n$, produce a logarithmic function that outputs a $y$ ...
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1answer
36 views

What would the plot of partial derivative look like?

Suppose, I have the following function: $$f(x,y) = -x^2 - y^2 + 4 \qquad (1)$$ Partial derivative of $(1)$ w.t.r. $x$ would be: $$\frac{\partial f}{\partial x} = -2x \qquad (2)$$ ...
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2answers
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Why looks the Moire pattern on my screen like the contour plot of z = xy?

I am not completely sure, but the Moiré pattern on photo's of my screen looks suspiciously like a contour plot of z = xy. I couldn't find any reference or similar question. Is there a fundamental ...
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2answers
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How to Plot a function when one of its value has a specific range?

$$ Z(s) = c \cos(\sqrt{2B}s) $$ when $$ 0 < c < 3.65 ~~\mbox{and}~~ 0 < s < 100 $$ Can someone please help me to How to plot $Z(s)$ vs $s$?
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2answers
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Graph of $|x|=x$

I typed the equation $|x|=x$ on varius graphing calculators waiting to see the part of the plane where $x\ge0$. I thought that because for every point $A(x,y)$ with $x\ge0$ the above equation is true. ...
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1answer
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How can I convert a “tent” into a “cap”?

I wanted to draw a "cap"-like paraboloid structure. like this one ... . But, the function $$f(x, y) = -x^2-y^2+4$$ is giving me a "tent"-like structure. See the link. How should I modify my ...
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0answers
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What would be the equation of an elliptical paraboloid which sits on XZ plane?

$f(x, y) = -x^2-y^2+4$ is the equation of a paraboloid which sits on the XY plane and protrudes toward Z-axis. See the link. So, if I want a paraboloid to be drawn on the surface XZ, I should write: ...
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3answers
32 views

Difference between amplitude and range?

Why Vertical axis changes name when we talk about waves? is there any differences between Range and Amplitude? also i didn't ...
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2answers
54 views

How to draw this function?

I have a problem where I am given this function: $z(x, y) = \cos(x)\cos(y)^{T}$ and now I am supposed to determine if a point is above or below this plane. But I am having trouble understanding ...
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1answer
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Determining a functions differentiability

If a function has a point of discontinuity, such that the slope of tangents at points before and after that point are equal, will the function be differentiable?
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What is the difference between Contour Map and Level Curve?

As far as I understand, Level Curve is a 2d curve extracted from a 3d surface by keeping one variable as constant. Contour Plot or Contour Map is the collection of level curves where a variable is ...