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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22 views

Software or website for live 2D countour plots?

I'm looking for a software tool to plot live contour plots. With live I mean something like Desmos, where you can enter formulas with parameters, and then adjust the parameters interactively (with a ...
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1answer
20 views

Sketching the domain and level curves of a multivariable function of $f(x,y)$

I have $f(x,y)=\ln(x-y)$ and I need to find the domain and sketch it on an x-y plane. Then I have to sketch the level curves with values of $-1,0,1,2$. I believe the level curves occur when $z=k$ ...
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1answer
43 views

Plotting a exponential form of complex number over an angle on an Argand Diagram

Say I had to plot the expression $$\frac{\pi e^{i\theta }}{4\theta}$$ where $\frac{\pi}{4} \le \theta \le \frac{9\pi}{4} $ on an Argand diagram, how would one go about doing so? If it was just the ...
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1answer
14 views

rotating a sigmoidal curve

I am using tikz to describe a load curve which is basically a clockwise rotated sigmoidal curve:load duration curve and I need a rough curve function that comes close to it. I remember that this is ...
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1answer
30 views

Plotting a function in 3D (theory)

I made a program which draws/plots a function like it is given in the picture ...
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4answers
66 views

Non-symmetrical parabola

Sorry if this is a really simple question, but I was looking for an equation to produce a non-symmetrical parabola. (The left side of the parabola would have a different 'slope' than the right side of ...
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0answers
19 views

Prove of disprove the asymmetry of a bode phase plot around the resonant frequency.

I am asked to prove or disprove the following: The bode phase plot for G(j$\omega$) given by G($j\omega) = a/(s+a)$ with a>0 is asymmetric with respect to (a,$-\pi/4$). I know how to derive the ...
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2answers
65 views

How to interpret the plot of a function of a complex variable?

I know what a complex number is: $a+bi$. But I have seen these functions that make no sense to me, something such as this: $$f(z)=z^2+1$$ where $z$ is a complex number. Does this have to do with ...
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0answers
14 views

Plot function with two unknown variables

This is probably a very trivial question, but I was trying to figure out a configuration of a revolving segment of a spacecraft to simulate gravity when I realized I actually had two unknowns: radius ...
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1answer
33 views

Overlapping of unit length real lines?

X, Y and Z are closed intervals of unit length on the real line. The overlap of X and Y is half a unit. The overlap of Y and Z is also half a unit. Let the overlap of X and Z be k units. Which of the ...
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0answers
22 views

Finding the function to given graph

I have a certain problem with finding the function for the given graph below. I have tried to find it via reversed curve sketching in MathCad, but i don't seem to get anywhere near the function. ...
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1answer
31 views

How to graph log equation if given the following?

So the question is $$ Y= log(-x+2)$$ So I factored as my teach told the class that $x$ can only be subtracted so I factored out $$ Y = log(-(x-2))$$ Information I got from the following equation ...
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1answer
23 views

Measuring 'consistency' of a slope

If you have a series of points (x,y). Is there a mathematical measurement that represents how consistent the slope of the line is. Like, a straight line with a constant slope would be the highest ...
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1answer
28 views

In performing geometric operations on a graph of a function that is being transformed, must you scale before you shift?

The graph of $f(x) = \sqrt x$ is the original function. Through transformation, $f(x)$ is changed to become $\sqrt{2x+1}$. Why can we not do the following: $f(x) = \sqrt x$ ==> Graph is ...
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1answer
21 views

contour plot of function

I have the function $$f(x,y) = x^{2/3}+y^{2/3} $$ I'm looking to map contour lines. As usual - I have substituted $f$ with a constant $c$. Usually what I would do is try to isolate one of the ...
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2answers
40 views

How to graph elementary functions?

Could you point me out some clear and extensive sources in this regard, please? I haven't found an interesting and extensive document so far. I have knowledge about parent graphs of functions and ...
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2answers
29 views

Solve for $x$ :$|[x]-2x|=4$

Solve for $x$ $$|[x]-2x|=4$$ where $[.]$ denotes greatest integer function. How to solve it graphically? can any one guide me step by step to get the solution ?
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1answer
37 views

For $f(x) = \sqrt{x}$, how can you manipulate this function's graph to yield this function's graph: $\sqrt{2x+1}$?

The graph of $f(x)=\sqrt{x}$ is the original function. Through transformation, the $f(x)$ function is changed to become $\sqrt{2x+1}$. Why can we not do this: $f(x) = \sqrt{x}$ ...
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1answer
32 views

Trying to calculate the distance between two points on x and y coordinates

How do you take the x and y coordinates of Variable a and the x and y coordinates of Variable b and then calculate the distance between them?
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2answers
53 views

Attempting to draw G(x) from G'(x)

We know $G(0) = 0$ Okay, so I have the above graph but I'm having a difficult time translating it into the graph of $G(x)$. What I know so far is that the slope changes abruptly from 0 to 2 at ...
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1answer
30 views

Graph of the function in the form: sqrt(-x+a) through manipulation of the function sqrt(x)?

In class we learned that certain simple functions (x, x^2, sqrt(x)) etc. can be manipulated to easily find the graphs of more complicated versions of these original functions... f(x+1) ==> shift to ...
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2answers
64 views

How would $F(x)$ look given this graph of $F'(x)$?

We know $F(0) = 0$ Okay, I just need some intuition on how to do this. So far, all I know is that the slope of $F(x)$ is always positive, therefore I should not have a negative slope anywhere on my ...
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2answers
44 views

Graphs of funtions such as $y=\sin(\sin(x))$

I'm preparing for the exam which I will have next week and in one exercise I was asked to sketch a graph of $y=\sin(\sin(x))$. I didn't know how to deal with it. Now I know how it should look like but ...
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1answer
41 views

Can we draw the graph of the derivative/integral of a function by using the graph of the function only?

Consider a function say $F(x) = x^2 + 5\sin x$ then we have it's derivative as $F'(x) = 2x + 5\cos x$ and thus we have the graph of $F'(x)$ quiet easily but can we plot a graph using only the graph of ...
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1answer
26 views

How to plot with Matlab a motion equation (in Frenet Serret coordinate)

I am stuck for a little while on a problem that I don't really know where I should start. The aim is to plot in Matlab the motion of a ball governed by the following equation: $$M ...
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1answer
20 views

Show difference between values of turning points of $ f(x) = (c-\frac{1}{c}-x)(4-3x^2) $

How would you show that the difference between the values of the turning points of $$ f(x) = (c-\frac{1}{c}-x)(4-3x^2) $$ is $$ \frac{4}{9}(c+\frac{1}{c})^3 $$ $c>0$ I have attempted to ...
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2answers
23 views

A circular paraboloid can be a elliptic paraboloid?

I'm aware of this similiar question: what is the difference between an elliptical and circular paraboloid? (3D) But I need help in a different way. In my calculus exam, I was asked to name the ...
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0answers
31 views

Inflection Points in 3 Dimensions

I'm currently learning about graphing 3 dimensional scalar functions. I understand how to find minimum, maximum and saddle points. I remember, however, that when graphing 2 dimensional functions there ...
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2answers
145 views

Minimum distance between $e^x$ and $\ln x$

How to find the minimum distance between the two curves $e^x$ and $\ln (x)$ ? No idea how to find the common normal in this case.Help!
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1answer
25 views

How to solve this graphical function transfromation problem?

How to solve problems like this. I always face problem in solving function transformation related problems. Is there any good way to solve problems like this..
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0answers
13 views

Curve fit to curve in standard deviation sense.

Two curves $A(t)$ and $B(t)$ are defined by their values on a grid $t = 1,..,T$. The task is to minimize $\sum_{t=1}^TB(t)-(k\cdot A(t)+b)$, where $k$ and $t$ - parameters. I understand, that I ...
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3answers
100 views

Parametric equation - of a hyperbola

I know that the parametric equation for points on a hyperbola($\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$) is: $$x = a\sec \theta$$ $$y = b\tan \theta$$ However, what does the parameter $\theta$ actually ...
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0answers
4 views

Finding the function of a wave using graph points

Given a set of graph points, I am attempting to find a wave function that passes through specific graph points where y = 0. (-n^2, 0) (0, 0) (n^2, 0) where -49 <= n <= 49.
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2answers
89 views

Calculate an interval on a scale / axis that allways has a point / gridline at $0$

I have an axis with a defined start (min) and end (max) value. $min <= 0$ $max > 0$. Now i want to have 15 to 20 identical magnitude sections with one hitting the point zero. To ...
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2answers
77 views

How to find an equation given the absolute value graph?

my question is how can i get a equation out of this i have gathered the following $$ y = a|x-h| + k$$ $$y = a|x-1| - 4$$ ($a$ i don't know yet and this is where i have a question) to find $a$ ...
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2answers
92 views

If you are given a graph of function h (x). How would you draw k (x)= 0.5 [ h (x+1) + h (x-1)]?

They do not give eqauation of this graph, just the picture and some coordinates. Do you have to draw both h (x+1) and h (x-1) and then just half the height?
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4answers
22 views

determine the intervals in which the graph is increasing

Determine the intervals where the graph increases. I don't know how to draw a graph here or if it is possible. I think that the answer is B, but I'm not really sure.
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4answers
32 views

How to find the normal to a curve at a specific point?

Can someone walk me through how to find the normal to a curve at a specific point? Taking one example from my Calculus Textbook, it states Find the equation of the normal to the curve $sqrt(y)+xy^2=5$ ...
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4answers
32 views

Using Implicit Differentation to find dy/dx for a curve?

I seem to be having trouble grasping the use of Implicit Differentiation. For example, one of the practice problems in my Calculus book states Use Implicit Differentiation to find $dy/dx$ for the ...
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3answers
22 views

What would this region even look like and how can I sketch it?

I need to sketch the following region in $\mathbb{R^3}$. $$D=\{(x,y,z) : 0 \leq z \leq 1-|x|-|y|\}$$ I really have no idea how to go about sketching this and I can never visualise in 3D. I have ...
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0answers
16 views

Picturing/Graphing (quasi-)concave/convex functions?

I understand the definitions, and can do work with them, but when I try to picture them I get confused (picture simple concave/convex functions that is, not some very complex ones obviously). ...
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1answer
16 views

Graphing an optimization problem.

So I used Lagrange multipliers to find the least distance between the point P(3,4,0) and $$z^2=x^2 + y^2 $$ The points with the least distance turn out to be $$(3/2 , 2 , 4/2 )$$ Now I need to graph ...
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0answers
20 views

Find me a sigmoid function with fixed point at the point of inflection in the unit interval

I am interested in finding sigmoid (S-shaped) functions $f$ on the unit interval $[0,1]$ such that For some $a \in (0, 1)$, $f(a) = a$ and $f'(a^-) > 0$ and $f'(a^+) < 0$. $f(0) = 0$ and $f(1) ...
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1answer
25 views

Draw graph of f(1-|x|) from graph of f(x) [closed]

i need help in Draw graph of $f(1-|x|)$ from graph of $f(x)$, applying translations Thank you
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1answer
42 views

Trouble plotting Fourier Series in MATLAB

I was wondering if anybody could help me with plotting my Fourier Series in MATLAB. I've had a go at it and I don't believe I have arrived at the correct answer. I've plotted the expanded result fine ...
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3answers
42 views

Graph and derivative of y=x

I'm having trouble understanding why the graph of $y=x$ is different from the graph of $y = \sqrt{ x^2 }$. Aren't both equations the same once you simplify the second one? And isn't the derivative of ...
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1answer
13 views

Method for transforming one curve around another?

I'm working with a complex problem involving waveforms. Essentially I want to bend a given waveform around a circle. At it's most basic, I want to take one curve on a linear graph and map it onto a ...
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0answers
17 views

How to graph $x-y \leq z$ where the function is only defined in a triangle.

I'm really bad at graphing more "difficult" equations. I get lost in the constraints. Could anyone give me tips and show me what the graph of the following equation should look like? We have two ...
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0answers
15 views

Primary vs. secondary variable in graphing

In a line graph plotting revenue over time for a company -- Would the date or the dollar amount be considered the "Primary" variable. I am trying to create an intuitive way for someone to create a ...
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3answers
42 views

Finding equation of the normal to a curve at a point?

One of the practice problems in my Calculus book states Find the equation of the normal to the curve $y=1+cosx$ at the point when $x= \pi/2$. Can anyone point me in the right direction on this? This ...