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

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1answer
33 views

Integration of a function defined by its graph, the union of semi-circles and a line segment

I don't understand how to do this problem and I would someone to help me with it.Please step by step for me. I just started on integration so this problem is a bit too hard for me due to my lack of ...
2
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1answer
17 views

how to calculate this logarithmic function?

Im having trouble in graphing this log function: $y=\log _{1/4}\left|x^2-5x+6\right|$ I found the intervals: $(-\infty, 2)$, $(2,3)$, $(3,\infty)$ Should I just give $x$ values and find $y$ to graph ...
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0answers
19 views

Get a function (equation) from data points?

Is there a way to get a function (equation) from data points? For example, we have this famous Google's 'Batman' function: ...
2
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1answer
32 views

Graphing algorithm

I am not sure if this belongs on Mathematics Stack Exchange, but it is somewhat relavant here. The Problem If you've installed any graphing/plotting apps on your smartphone, you will notice that the ...
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2answers
16 views

Why $(h,k)$ in equation $y= a(x-h)^2 +k$ is the vertex of a parabola?

As in the title , I know how to convert normal explicit equation to a vertex form equation by completing the square . But what is the reasoning behind why $(h,k)$ must be the vertex , but not other ...
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2answers
34 views

does anyone know how to graph $x^2+2y^2+3z^2=12$?

I just can't think of how I should draw this graph in 3 dimensions. Can anyone draw a graph for this?
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1answer
19 views

What will the graph of this parametric equation look like?

What will the graph of this parametric equation look like? $$x = 2t$$ $$y = t + 5, \quad -2 ≤ t ≤ 3$$ Does "$-2 ≤ t ≤ 3$" represent the domain?
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0answers
13 views

Barrels of water, graphing an “acceptable” range…

So I have a bunch of barrels at a site that collect rain water. They’re all the same size, but the openings are scaled linearly from 100% of the lid size to nearly 0% on the “smallest” barrel. (but ...
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0answers
34 views

Differential Equation Direction field

What i want to achieve: I want to plot the direction fields of the following three differential equations: 1. Malthusian growth model: $p'(t)=\lambda*p(t)$ with $\lambda=1$ and $p(t)=t$ 2. Linear ...
1
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1answer
34 views

How to guess that $f(x,y)$ has no limit?

I need to determine if the limit as $\mathbf{x}\rightarrow \mathbf{0}$ exists for the following functions: ($f:\mathbb{R}^2 - \{(0,0^T)\} \rightarrow \mathbb{R}$) $f(x_1,x_2) = ...
0
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1answer
28 views

Draw $-dU(x)/dx$ for $U(x)$

It's been a little while since I've done any problems like this, but I just wanted to make sure I'm on the right track. Updated attempt:
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1answer
27 views

Plotting Step Functions - connecting the steps?

How does one choose whether or not to draw vertical lines connecting the steps of a step function? Let's take the cdf of some discrete random variable as an example. My intuition tells me to graph ...
0
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1answer
23 views

What is the difference between log scale. and plotting logarithms?

I find plots in scientific literature beyond confusing. I understand quite clearly the difference between a linear and a logarithmic scale, and when each is desirable. Suppose we are plotting values ...
0
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0answers
36 views

Trigonometry graph sketch [closed]

Sketch the graph of $y=|\tan x|$ for $0 \leq x \leq 360^{0}$ showing clearly the position of the asymptotes. Solve the inequality $|\tan x| < 1$ for $0 \leq x \leq 360^{0}$.
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1answer
32 views

I need and equation/graph

I've been out of school for a long time, and don't remember how to do this. I have some points on a graph with a curved line and I'd like to know an equation for them so I can plot beyond what I've ...
4
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1answer
56 views

How to make a good “infinity plot”?

This is what I mean (note the labels in the x axis): The reason I'm looking at this problem is because I've always felt something was not right with truncated plots (e.g. of the exponential ...
0
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1answer
21 views

Find constants in expression of the form $y = ax^b$

So I have a real system that for a given setting, x, returns a value, y. These values appear to follow (with some limits) the form of $y = ax^{-b}$ - could also be expressed as $y = \frac{a}{x^b} $. ...
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9answers
1k views

examples of functions with vertical asymptotes in real life

As a math teacher, I tend to get the class involved by finding real-life applications of the math- with functions and vertical asymptotes I am having trouble finding simple enough (rational) functions ...
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1answer
52 views

Analysing the derivatives of a sketched curve

I have the following graph and want to know: Are these statements correct and if not why? question A: $f'(-2) > 0$ question B: $f(0) = 0$ and $f'(0) = 0$ and $f''(0) \neq 0 $ question C: there ...
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0answers
44 views

What is a good book to train drawing graphs of function?

I am about undergraduate here , and I just want to ask what is the best book for drawing graph of functions as I am very weak in drawing graphs
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3answers
34 views

Function graph transformations

I'm looking for a reliable document with formal mathematical justification of how and why graph transformations work. Given a function $f(x)$, what is the graph of $f(a-x)$? Why should we shift $f(x)$ ...
0
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1answer
27 views

Plot a set, given in cylindrical coordinates, with Maple and $\text{plot3d}$

I want to plot the set $\phi(A)$ with Maple, where $$\phi:[0,\infty)\times[0,2\pi)\times\mathbb{R}\to\mathbb{R}^3\;,\;\;\;(r,\phi,z)\mapsto(r\cos\phi,r\sin\phi,z)$$ is the transformation in ...
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2answers
37 views

Graph of $y=\text{constant}*x$

Graph of $y=x$ , $y=\frac{1}{2}x$ and $y=\frac{1}{4}x$ is All are straight line. But with different slope. Why?
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0answers
9 views

Phase difference of two signal of different frequency

Currently, I have two signals, the main components of both signals are 60Hz, but both also have weaker response at 180Hz + small amount of noise. As shown in the photo below, I want to find the phase ...
0
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2answers
15 views

Given a line, calculate a perpendicular line to make a T shape

I am working with SVG vector graphics, and I want to make a dynamic T shape by adding a perpendicular line. I have a line with two points (4,17) and (11,3). How can I figure out (x1,y1) and (x2,y2)? ...
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2answers
37 views

Graphical representation of complex numbers

How would you graphically represent the following complex functions on the Argand plane (ie. not polar coordinates): $$|2i-z|=|z+1+3i|$$ and $$Re[(3-4i)z]>0$$ I know that $|z-a|=c$ is a circle ...
0
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1answer
30 views

How to sketch the level curves of $f(x,y) = x^2 - y^2$

I've been practising functions of several variables for college and I've been working with circles all the time $(x^2 + y^2)$, however, I still can't figure out how to solve non circular shapes, as ...
1
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1answer
37 views

Question regarding the graphing of differential equations in grapher (mac)

I am new to grapher (mac) and I am trying to graph Lotka-Volterra equations. For those of you who you do not know, the Lotka-Volterra model is a model that describes the population of two competing ...
0
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1answer
18 views

Variations of a sinc function

Consider the following function \begin{align} G(\omega_t) = \frac{1}{N_t}\text{exp} \bigg( j \pi \Delta_t \omega_t (N_t-1)\bigg) \frac{\sin (\pi N_t \Delta_t \omega_t)}{\sin (\pi\Delta_t ...
3
votes
4answers
39 views

Double branch $\sqrt x$ or square function turned 90°?

I have this idea for a graph but don't know what function could describe it better. The idea is something like the "squared" function turned $90$ degrees to the right, so that possible values for $x$ ...
1
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1answer
46 views

Exponential function given two points

I am trying to find an exponential function satisfying two points (having base "exp"). After some search, I couldn't find something relative (the most relevant was that ...
0
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2answers
49 views

Is $f(x) =|x| - 3$ even, odd, or neither?

$$f(x)=|x|-3$$ Is the function above odd, even or neither? I know that a function is even if $f(x) = f(-x)$: $$f(-x) = |(-x)| - 3$$ $$f(-x) = x-3$$ Does this mean that the function is even? ...
0
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1answer
21 views

Solving a curve sketching task

I have some troubles with the general idea of curve sketching. I have following function that I have to sketch. $$ y = \frac{1}{2x^{2} + 12x + 6}. $$ I have the intercepts $y = 1/6$ and no ...
2
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1answer
24 views

Locus of line segments

If we take a line segment of infinitesimally small length, and draw another line segment of the same length from the endpoint of the first at a particular angle and repeat this infinite number of ...
0
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1answer
43 views

How to plot this complex polynomial?

I have tried using ti-89, ti-nspire and wolfram alpha, but none have given me a plot of this complex polynomial. I admit that I have may not inputted the formula correctly in wolfram alpha. The ...
4
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1answer
86 views

Distribution of Rational Numbers on $[0,1]$

If I define the function $$\Phi(n) := \sum_{k=1}^n \phi(k),$$ where $\phi$ is Euler's totient function, and I define $Q_n(x)$ to be the number of distinct rational numbers with demoninators $\leq ...
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0answers
13 views

What is a good graphing software that make me adjust graph on the grid?

I'm looking for a good graphing software where I can drag and adjust graphs on a grid and the software will give me the equation of the adjusted graph?
0
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0answers
32 views

Sketch $\frac{\sin(x)}{1 + a \cos(x)}$ for “every possible” $a$

I am trying to sketch $$f(x) = \frac{\sin(x)}{1 + a \cos(x)}$$ for every possible $a \in \mathbb{R}$, but I can not find good ranges of a which the function behaves similarly in that specific range. ...
5
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2answers
195 views

How to graph this sin equation?

I have the following sin equation which I am supposed to graph: sin(3x) = -1 and also find how many solutions it contains ...
0
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1answer
43 views

Absolute maximum on $(-\infty, \infty)$, must be local maximum?

I think yes, and I think it must true for any open interval not just $(-\infty, \infty)$ Just wanted confirmation, OR am I wrong
0
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1answer
51 views

Splitting up a series of numbers: How to determine when a value increase is significant?

I have 100 input values: $0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
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2answers
47 views

Plotting a function (by hand) if the second derivative is hard to find

In plotting graphics we use the first derivative to find critical points and in which intervals the function grows and becomes smaller. We can insert the critical points in the second derivative to ...
2
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0answers
52 views

Is there a way to graphically show that a solution is the minimum or stationary solution to a functional?

I'm looking for the functional analogue to the visual representations of function optimization you most commonly see. To illustrate, if we have some function: $$ f(x) = (x-1)^2+1 $$ We can look at ...
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0answers
21 views

From wind speed to Watt

I have this graph below which show how much effect a windspeed make i Watt. My question is. How can I convert wind speed into Watt without reading the graph.
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3answers
47 views

Question about the graph of the square root function [duplicate]

I know this question may be stupid but I've been studying for my test tomorrow and I'm so frustrated, I can't figure this one out. if we have a square root function like this: $y = \sqrt{x}$ wouldn't ...
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3answers
1k views

What do bitwise operators look like in 3d?

The hypothetical relation is $z = \mathrm{xor}\left(x,y\right)$ where xor is any bitwise operator such as AND, OR, NAND, etc. I see that these operations may be defined for integers trivially using ...
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3answers
48 views

Graphing new functions based on f(x)

I have a question: How do you graph new functions based on an original function? For example, in the following: If this graph were to represent the function $f(x)$ then: What would the graph of ...
0
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2answers
29 views

Where to put angle ending on right triangle, only using variables.

Let's say I have a triangle ABC, with side lengths abc. I need to draw a line from the angle connecting the base (c) and hypotenuse (b). I don't know the real angle, but I know it's sin-1. I need to ...
0
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2answers
52 views

X<5,Y<5 (clear)..but what if X<5, Y-X>10

I'm trying to construct geometric representation of the following: X<5, Y<5 (that is clear, it will be the area (square) with the corners on the 5s on X and Y axes. But I am clueless how to ...
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2answers
25 views

Region given by these inequalities in XY Plane

Given region as $ 0\leq x \leq y $ , $ x+y \leq 1$ . I did this as Is this correct ?