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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51 views

If $f(x)=x^3-3x^2-x+2$ ,Find an expression for the function $y$, which is obtained by rotating the graph of $f (x)$ through $180°$.

Question: $f(x)=x^3-3x^2-x+2$ where $x\leq 1$ Find an expression for the function $y = g(x)$, where $x\geq1$ , which is obtained by rotating the graph of $y = f (x)$ through $180°$ about ...
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1answer
21 views

Graphs of the hours of daylight in certain latitudes

Problem Attempt We are given that Graph A is North. Since South is more "dark" when North more "light" I picked the graph that is mirrored horizontally: Graph D. For East and West I can only ...
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1answer
20 views

Approximate a function from points

I would like to approximate a polynomial equation from a series of points. Searching around this site I found this post which pointed to the Lagrange Interpolating Polynomial. The challenge however ...
2
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1answer
26 views

Is a sigmoid function what I need to make this graph?

I'm designing a game where characters' speed starts slowing down after different distances. I'm not advanced in mathematics so I'm not sure if I'm on the right track. After researching on wikipedia I ...
1
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1answer
40 views

If $f(x,y)$ is a function that its contour lines are straight, is it necessary looks like $f(x,y) = ax + by + c$

If $f(x,y)$ is a function that its contour lines are straight, is it necessary looks like $f(x,y) = ax + by + c$? Well, in the answer is no. it is written that $e^{x+y}$ for every $(x,y)$ has ...
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1answer
23 views

If you are given the graphs of f and g and asked to graph f/g, what do you do? [on hold]

I have been stuck on this question for almost half an hour, i don't know where to go from here.
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1answer
79 views

Graphing $\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4+\cdots}}}}$: help please!

I am investigating the sequence that tends to the limit $\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4+\cdots}}}}$, and although I am making headway on related theory, I would like to graph the ...
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0answers
10 views

Transforming a set of scatter points

I have a set of prediction scatter data y vs x in black crosses below. For the prediction to be 'accurate', the points ought to fall on the 1:1 line. I am trying to quantify a correction scheme to ...
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2answers
64 views

Testing for symmetry about a curve/line

In High School Algebra , after studying how to plot a graph of $f(x)$ (rather called $y$) against $x$ in Cartesian coordinates, we studied several tests to determine the symmetry of the plotted graphs ...
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3answers
42 views

$\tan x= \cot (x+\phi)$ for some $\phi$

Suppose we graphed the equation $ y = \tan x $. Is it possible to describe this graph with an equation of the form $ y = \cot (x + \phi) $, for some number $ \phi $? Why or why not?
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1answer
53 views

For what values does $kx^2 - 6x - 4 = 0$ cut the x-axis? [closed]

A quadratic equation problem. For what values does $kx^2 - 6x - 4 = 0$ cut the x-axis? The preceding part of this question dealt with the discriminant.
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0answers
14 views

Finding Intermediate points in a graph

I have the following values in a table,I would like to find the intermediate points(Need to find y values for example if x=33 then the Y value for that x value) between the given values.But I could ...
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0answers
7 views

y-axis dynamic domain padding to center graph

I'd like to know how to add extra numbers on a graph's y-axis? Aside from the values shown in the image, this axis can be thousands and even millions. I'm trying to center the lines so the min (-30) ...
0
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1answer
36 views

5th degree polynomial with positive leading coefficient

I'm guessing C or D because odd degree polynomials which aren't linear extend one way to infinity and the other way to negative infinity? So what's the relevance of the a>0? As x approaches infinity ...
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0answers
12 views

Easy way to resample time series data? [closed]

I have a document in Google Sheets with a large volume of uneven time sampled data graphed on a scatter plot. ...
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0answers
27 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
30 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
60 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 ...
1
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1answer
49 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
19 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
38 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
44 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
24 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
24 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
43 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
21 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 ...
2
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1answer
31 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
37 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 ...
5
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2answers
56 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
36 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
22 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
55 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
36 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
44 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
40 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
42 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
57 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
95 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
40 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
25 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
36 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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20 views

Can you graph domain restrictions on a calculator?

I have a casio graphics calculator - just wondering if anyone knew if you can enter a domain and range restriction when graphing a function?
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1answer
33 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: ...