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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28 views

Plotting $\sum_{n\geq 1}\frac{1}{n}z^{n}$ for $|z|<1$ (the natural boundary): Coding

As part of my tutorial, I would like to show the plots of a)$-\sum_{n\geq 1}\frac{1}{n}z^{n}$ and b)$Log(1-z)=log(|z|)+iArg(z)$, to drive home the point of analytic continuation. Plotting the Log is ...
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1answer
32 views

Solving an equation on the graph

The picture shows the graph of $$ y = \frac{1}{10} (x^3 + 3x + 20). $$ I was then told to draw a straight line on the graph, then solve the equation $x^3 + 23x = 30$. I'm a little confused here ...
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1answer
31 views

Formula for the graph of 3 hyperbolas

I recently was doing some complex number work and found this guy: Is there a formula for a graph like this in two - dimensions? I know that the values are the same on every curve, but they are ...
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1answer
61 views

Theoretically, can mathematical equations be used to graph any picture imaginable? [duplicate]

I know that quadratic formulas make parabolas, linear makes straight lines and sin, cos and tan make cool curves but after messing around with WolframAlpha and online equation graphing tools I can ...
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1answer
52 views

Is there a trick to drawing cubic equation graphs?

This year I started drawing out cubic graphs on graph paper...My teacher have been giving a ton of practices.However,I find that it is very difficult to connect the points of the graph,especially the ...
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0answers
22 views

Find the graph of the given function

$f(x)=$$Sin^{-1}$${(3x-4x^3)}$ , Plot the graph for $f(x)$ I want to know how I can plot graph from this points.
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2answers
46 views

Finding equation of tangent lines to hyperbola $xy=1$

I am working through some calculus problems (this is in a section on implicit differentiation) and this one is giving me trouble. I am trying to find the equations of the tangent lines to the ...
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1answer
35 views

Exaplin a limit example in graph

Let $f(x) = x $ for $x \ge 0$ then $\lim_{x\to 0^+} f(x) = 1.$ Now, how could I exaplin it on a graph? I can't uderstand from the graph why the limit approaches $1$. It seems to me that when $x$ get ...
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2answers
46 views

$3$-dimensional shape

What $3$-dimensional shape is represented by graph of the set of pints $ (rcos\theta, rsin\theta,z)$ where $r$ is a constant real value, $\theta$ range from $0$ to $2\pi$ radiant and $z$ range over ...
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1answer
33 views

Normal vector on a plot

Do a sketch of $f$ with the equation $f(x,y)=0$. Give in all non singular points of the curve a normal vector. $f(x,y)=x^{3}-x-y$ How can I do this thing with normal vector? I know that singular ...
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1answer
25 views

Visualising High Powers of Sin and Cos without Graphing

Find $$\int_{0}^{\frac{\pi}{2}} sin^5\theta \ \ d\theta$$ Hence, with reference to graphs of circular functions, find $$\int_{0}^{\frac{\pi}{2}} cos^5\theta \ \ d\theta$$ ... explaining your reasoning....
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1answer
27 views

MATLAB: how to include running time on a graph? [closed]

I have a MATLAB/Octave program for which I used the tic and toc functions to measure the time elapsed for some calculations. e.g....
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2answers
60 views

Convolution of two rectangular pulses

Determine the shape of the following function$$\int^\infty_{-\infty} \Pi(4\tau) \Pi(t-\tau) d\tau$$ Attempt: This function is a convolution of two rectangular functions. I know that the result has ...
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0answers
23 views

Iterating a relation to find a function

I was playing around with a graphing calculator, trying to find approximations for inverses of $f(x)=x^5+x+1$. This cannot be expressed with radicals or the like, but I wanted to see how close I could ...
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1answer
36 views

Visualizing a complex function

Ever since I learned about complex valued functions I've been wondering if there was a better visualization for them. Obviously we can't visualize four dimensions, but I was wondering if it would be ...
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1answer
39 views

Find an example for a bounded function $f$ where the graph of $f$ marked by ${E=(x,f(x))}$ is not of volume 0.

Find an example for a bounded function $f$ where the graph of $f$ marked by ${E=(x,f(x))}$ is not of volume 0. I tried to think about some variation of dirichlet function but the I saw that you could ...
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2answers
19 views

Determine the points where polynomial function intersects logarithmic function

Given the function $n^k$ where $k$ is a constant such that $0<k \leq k_{max}$ where $k_{max}$ is the point at which $n^k$ first intersects with $log_2n$ determine: $k_{max}$ For a given $k$, the ...
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2answers
57 views

Why isn't f(x^2) a horizontal stretch of f(x) by a factor of “1/x”?

I know this question seems silly, but it came to mind while reading about transforming functions. Is the statement "y=f(kx) results from scaling the graph of y=f(x) horizontally by a factor of 1/k" ...
2
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1answer
37 views

Plot of a function

What is the plot of: $$y=\frac{\beta(1-\alpha)x}{\alpha(1-\beta)+(\beta-\alpha)x}$$ with $0<\alpha<\beta<1$. How do I handle the parameters? How do I compute the derivatives to check for ...
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0answers
23 views

Software to run non-linear regression

We currently use a very old version of StatGraphics and unfortunately it doesn't run on x64 systems. So I am looking for open-source software that may do the same thing as a replacement. Namely we run ...
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2answers
57 views

Are we suposed to consider $f(0)=1$?

If you plot the graph of $f(x)=\frac{\sin x}{x}$ on GeoGebra, you would realise that the function is shown to be continuous at $x=0$. I do agree the $\lim_\limits{x\to 0}\frac{\sin x}{x}=1$, but $\...
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1answer
37 views

Graph the function [closed]

Graph the function $$ f(x)=\begin{cases} -x-2, & -2<x\le -1 \\ -x^2, & -1<x\le 1 \\ x+2, & 1<x\le 2 \end{cases} $$
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0answers
47 views

How to graph 3D functions of two variables on Wolfram Alpha?

How to graph this on wolfram, google, or other free software: \begin{alignat*}{3} x(s, t) &= a\cos(mt) \cos^{k}(ns) &&\cos(t) &&\cos(s), \\ y(s, t) &= a\cos(mt) \cos^{k}(ns) &...
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3answers
45 views

Graphical explanation of the difference between $C^1$ and $C^2$ function?

We are all aware of the intuitive (graphical) explanation of the concepts of continuous and differentiable function. Whenever these two concepts are formally defined, the following elementary ...
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3answers
55 views

How to transform a straight line into a curve. Linear to convex/concave function.

Let's suppose I have a basic linear function $$f(x)=mx+b$$ I want to factor in a parameter $A$ in a function $g(x)$ such that when $A<0$ in $f*g(x)$, $f(x)$ becomes increasingly concave as $A$ ...
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1answer
60 views

Why do some rational functions approach the asymptote from the other side?

There are some rational functions that do a switcheroo when $x \to -\infty$ where (when graphed) they cross the horizontal asymptote in order to approach from the other side. It only seems to happen ...
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1answer
18 views

Graphing function according to its conditions/limitations

A continuous function is defined by the following conditions $\frac{d^2y}{dx^2}>0 $ for $ x<-1$ and $1<x<3$ $\frac{dy}{dx}=0 $ only when $ x=-3,1$ and $ 5$ $y = 0$ only when $x=1$ ...
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2answers
33 views

Plotting a 3D graph from explicit equation

I´m a 2nd year engineering student and today we learned how to plot 3d graphs from a $XYZ$ equation on paper. For example, I know ($\frac{X^2}{9}+ \frac{Y^2}{16} + \frac{Z^2}{9} =1$) will produce an ...
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0answers
16 views

How do I determine and sketch the images $g(\mathbb{R})^2$ as sets and as geometric objects?

It's given function $g(x, y) = \begin{pmatrix}e^x \cos y\\ e^x \sin y\end{pmatrix}$. How do I determine and sketch the images $g(\mathbb{R})^2$ as sets and as geometric objects?
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2answers
96 views

The graph of the function $f(x)= \left\{ \frac{1}{2 x} \right\}- \frac{1}{2}\left\{ \frac{1}{x} \right\} $ for $0<x<1$

Let for reals $$\{x\}=\text{Frac}(x)$$ the fractional part function, take for example the more common definition, the first (there is a different definition as you see in this MathWorld's Page, ...
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1answer
42 views

Converting parametric function into cartesian

I am trying to convert the parametric function $x(t) = a\cdot(t - \sin(t)) + b\cdot\cos\left(\frac{t}{2}\right)$ $y(t) = a\cdot\cos(t) + b\cdot\sin\left(\frac{t}{2}\right)$ into a cartesian form. ...
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0answers
26 views

Time-independent vector field

In a time-independent vector field I want to draw streamlines, path and streak lines. Given $v_x=-x$ and $v_y=y$, how should I draw them ?
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1answer
40 views

Piecewise Functions difficulty

I am new here. I need a bit of help. Not the best at math. Johnny jumps from a plane at $3000$ feet in the sky. After $35$ seconds, he deploys a parachute. $h =$ height. $t =$ # of seconds after ...
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1answer
38 views

Finding an Equation of Nonlinear Data

I've been really rusty on math. So excuse me if I sound dumb. I am trying to find equation for the data below: ...
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2answers
39 views

Transformation of graph of $f(x)$ to $\frac{1}{f(x)}$

With the help of the graph given below i.e. $y = f(x)$ plot the graph of :- $1.$ $y=\frac{1}{f(x)}$ $2.$ $y=2f(x)$ $3.$ $y=f(2x)$ For $y=2f(x)$, I multiplied each coordinate of $y$-axis by 2 and ...
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1answer
22 views

graphing multiple functions limited between between two x values

On a graph you can limit the showing of a function between two x values by multiplying by a complex when outside. $$\\f(x) = ax * \frac{(\sqrt{(max -x)} * \sqrt{(x - min)}}{(\sqrt{|(max -x)|} * \sqrt{...
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2answers
21 views

graphing $f(ax-b)$

I want to know which of the following methods is right for graphing $f(ax-b)$ from $f(x)$ and why: Method 1. First Horizontally Translate it ($f(x)$) by $b$, then Horizontally Stretch/Compress it by $...
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0answers
9 views

Problem while computing and plotting a table

I want to create a list of numbers, by computing an integral of something divided by a function, and then plot it. ...
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1answer
20 views

Shape of a functional curve [closed]

Can someone help me understand the shape and visual of the following functions: z = 36xy + 6( y - x ) - 1.
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1answer
61 views

How to sketch $\cos (xy)$ by hand

I've been practicing sketching maps $\mathbb R^2 \to \mathbb R$ and mostly I can do it but this one has me stuck completely. I want to sketch $\cos (xy)$ by hand. Here is what I have so far: For $...
2
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1answer
31 views

Does cancellation impact vertical asymptotes?

Question: Let $r(x) = \frac{(x^2 + x)}{(x + 1)(2x - 4)}$. Does the graph has $x = 1$ as one of its asymptotes? Answer: No. My reasoning: $\frac{(x^2 + x)}{(x + 1)(2x - 4)} = \frac{x(x + 1)}{(x + 1)(...
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1answer
32 views

Finding a function with a certain behavior

I'm searching what are the keywords or the good links to expand my researches. I would like to get the equation ( for programming purposes ) of more or less this curve: http://i.stack.imgur.com/...
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2answers
33 views

parametric polar equation of a circle

I discovered that Mac's Grapher has a parametric polar mode, i.e. where $r$ and $\theta$ can be specified in terms of a parameter, usually $t$. I am attempting to convert the generic equation for a ...
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4answers
64 views

Graphing $\frac{(x-3)}{(x^2-3x)}$ and $1/x$

For graphing the first equation, in the solved example given in the textbook, we proceeded as follows: $\frac{(x-3)}{x^2-3x} \implies \frac{(x-3)}{x(x-3)} \implies \frac{1}{x}$ for $x \neq 3$. Now ...
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4answers
41 views

How to shift a line in a graph regardless of slope?

I want to shift a line right some points, regardless of its slope. For example, a vertical line will shift to the right by having its two y coordinates changed, [(x1, y1+some number) (x2, y2+some ...
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1answer
33 views

Hi I was wondering if there is any algebraic way to find the zeroes of a cos/sin formula without using the unit circle? [closed]

I understand how to find the zeroes using the unit circle or just graphing it for any matter for my equation. I was just wondering if there is a formula or an algebraic way I could find them. Here'...
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4answers
44 views

How to understand $|1+z|<1$ where $z\in\mathbb{C}$ geometrically?

I am trying to understand how to plot $|1+z|<1$ where $z\in\mathbb{C}$, is it a circle centred at real axis $\text{Re}(z)=-1$ with radius $1$? My question is how can we show it algebraically? I ...
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0answers
27 views

Discontinous and differentiable

If we have a two functions $f:[-1/2, 2] \to \mathbb{R}$ $g: [-1/2,2] \to \mathbb{R}$ $f(x) = [x^2-3]$ where $[ \cdot ]$ denotes greatest integer $g(x) = |x| f(x) + |4x-7| f(x)$ Now we have to ...
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2answers
23 views

Number of solutions using graph

We have to find the number of solutions of $e^((-x^(2))/2)$ + $-x^2 =0$ I tried it and got one solutions by drawing graph. Is I have done correct ? My try is on :
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0answers
21 views

Is there a mathematical term for the “de-peaking” of a dataset

I have several sets of data that exhibit similar "peaks" when viewed as a graph, e.g.: A more useful representation of this data (for my purposes) is ${y = abs(x - 70)}$. The representation of the ...