Questions tagged [graphing-functions]

For questions regarding the plotting or graphing of functions. For questions about the kinds of graphs with vertices and edges, use the (graph-theory) tag instead.

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Hyperbola with linear segment

I'm looking for a simple hyperbola-like function that has a linear like segment that can be parameterized to start at a and end at ...
hennyk's user avatar
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Triple Integral Reiteration

I have the following triple integral: $$ I = \int_0^1 dz \int_z^1 dx \int_0^{x-z} f(x, y, z) \ dy $$ I want to reiterate the integral in such a way that the integrations are performed in the following ...
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When finding the asymptotes of function b, is minus infinity obtained?

Good time of day. There was a problem while researching the function graph. Namely, when finding the inclined asymptote. Graph: y=x-ln(x+1) When calculating the limit, the coefficient k = 1. Calculate ...
Loly18's user avatar
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Why is it more common to draw in arithmetic subdivisions in logarithmic plots?

I can understand that you'd sometimes want to see where the linear subdivisions are on a logarithmic plot, and track e.g. where one y-value is ~3 times as large as another y-value (e.g. 2x10^5 ...
Outis Nemo's user avatar
4 votes
3 answers
256 views

floor(x/y)=y graph

I was experimenting with some equations on Desmos and stumbled upon the floor function. I tried using it in different equations, but nothing caught my attention ...
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Why we cannot draw the graph of a three-dimensional function?

I am a mathematical beginner. As we all know, the graph of a one-dimensional function is a curve, and the graph of a two-dimensional function is a surface. What is the graph of a three-dimensional ...
RR rr's user avatar
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How is it Possible to Generate Tables and Graphs Optimizing the Associated Shichman-Hodges Slope $λ_j$ and Verify the Regression Approach

1. Introduction Linear regression Equations for $λ_j$ are derived here: How is it Possible to Optimize the Shichman-Hodges Slope Parameters from the Left and Right using Least Square Linear ...
Stephen Elliott's user avatar
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Can you have a graph/plot with more than 3 sides?

It may be a stupid question but I was working on a ternary plot (example image attached) and the idea about the maximum number of sides for a graph (in 2D, 3D and ND) came up. I'm curious as to the ...
Ahmed Tayee's user avatar
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Linearly spacing points along non uniform curve

For a robotics project, we have sensors that give us an accurate realworld XYZ position. I've recorded this data to measure the sag our telescoping boom has over its 50 feet of travel. This is the raw ...
Joe Jankowiak's user avatar
3 votes
1 answer
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Why do I see this in the graph of $\ln(x) + i\pi$?

There is always a time when we realize that people telling us that “logarithms of negatives are undefined” is a lie. With complex analysis, we can derive the following: As $e^{i\pi} = -1$, $\ln(-1) = ...
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How can I fit a function, given a set of estimates of its slope over various intervals

I am trying to approximate a function $f(x)$ (strictly positive x if that helps) based on the following information. I have estimates (uncertain, their uncertainty quantified) for 435 intervals of x, ...
Michel Nivard's user avatar
2 votes
2 answers
93 views

Finding number of solutions of $e^x$ = $x^3$

As we can see $e^x=x^2$ has 1 solution. $e^x=x^4$ has 2 solutions with $x^4 > e^x$ after $x=1.43$ which is one of the solutions. What is the reason behind this? Also what would be the approach is ...
Macron's user avatar
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Geometry needed to layout points in a grid for a centered hexagonal number?

I asked this as a programming question, but perhaps it is a better math question. What is the math needed to compute the positions of the points along the flat edges of the hexagon? I could then ...
Lance's user avatar
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Mathematical curve to represent a contour plot of a bimodal distribution in two dimensions

I am attempting to find a mathematical curve $f(x,y)$ that describes approximately the contour plot of a bimodal constructed from two Gaussian distributions centered at $(0, \pm y_0)$ and $\sigma = 1$....
Puco4's user avatar
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Possible approaches to prove that there is an integral point at a distance of less than $1/1000$ from the straight line $y=\sqrt{3}x$

Self-studying Gelfand pre-calculus (Functions and graphs, pg.92). Are there any more ways to prove that there is an integral point at a distance of less than $1/1000$ from the straight line $ y=\sqrt{...
studyingsicp's user avatar
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Prove that $n$ hypersurfaces with cyclic permutations of the last $n-1$ variables only intersect if all the variables have the same value.

Suppose that in $\mathbb{R}^n$, I have an equation $F(x,y,z,\dots,n)=0$ with the property that it is symmetric in the last $(n-1)$ variables $\{y,z,\dots,n\}$, but not in the first variable $x$. For ...
matilda's user avatar
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What is the graphical intuition with the hyperplane $H = \{x\mid a^T x = b\}$ for a non-zero $b$?

Consider the hyperplane $H = \{x \mid a^T x = b\}$ When $b = 0$, the geometric meaning of the hyperplane is immediate: You plot a vector $a$, and then everything that's perpendicular to it is your ...
Olórin's user avatar
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How to plot spherical harmonics? [closed]

Let me start by saying that I am only interested in the mathematical aspect of the thing. I would like to plot just for the fun of it the spherical harmonics that are used to plot the electronic ...
Charlie's user avatar
1 vote
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Matrix of POV for graphs: $\mathbb{R}^n\to \mathbb{R}^2$

Despite the context, this question concerns mathematics since I ask to find the formula of a matrix, I specify this since the question was closed because "This question is not about mathematics&...
Math Attack's user avatar
-1 votes
2 answers
70 views

Problems with plotting a function [closed]

I can't find out why maple won't plot a type of function the way it's supposed to be. Here are the functions I need to plot I'm considering B=24, h=0, t=10.2 and epsilon as the only variable. The ...
Bruno Magalhães's user avatar
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1 answer
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Why is the graph of function behaving in a seemingly erratic fashion?

I was recently trying to plot the graph of the function $f(x)$. This function is defined as follows: $ f(x) = \frac{\sin{3x} - 3\sin{x}}{(\pi - x)^3} $ I first plotted the numerator ($A(x) = \sin{3x} -...
rohan843's user avatar
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Behaviour of the solution of a second order ODE

I am currently studying the following second order ODE \begin{cases} \ddot y(x)\left(\ln(x) - 2\ln(y(x))\right) - 2\frac{(\dot y(x))^2}{y(x)} = 0 &\text{in }[0,T]\\ y(0) = 0\\ \dot y(T) = c \end{...
Falcon's user avatar
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Wrong graph of a function in Desmos

I have a function $$f(x)=\frac{2(x-\log(x+1))}{x^2}$$ which is not defined at $x=0$, but I can use L'Hopistal rule two times to get the limit as $x\rightarrow 0$: $$\lim_{x\rightarrow 0} \frac{2(x-\...
David G's user avatar
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1 answer
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Unable to find error in finding area of inequality

I was trying to find the probability of breaking a unit stick at two points to form a triangle which is 1/4 by graphing some inequalities. First I let the first point be x, and the second be y (on a ...
uggupuggu's user avatar
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Is there a simple method for interpolation that doesn't overshoot?

I am working on a project where I have a very specific need: I need to be able to interpolate between values in a dataset without the output function containing outlandish ridges and troughs. ...
Kai's user avatar
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2 answers
110 views

$|x − y + z| + |y − z + x| + |z − x + y| = 1$, please comment on the geometrical shape [closed]

If S is the outer side of the surface $|x − y + z| + |y − z + x| + |z − x + y| = 1$, please comment on the geometrical shape of the surface and volume. I am unable to use https://www.geogebra.org/ for ...
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How to Clearly Plot a Plane in 3D in Lecture Notes

I'm currently teaching introductory linear algebra. This is my first time as the instructor, but I have been a teaching assistant for the class before. A recurring problem I have is drawing a clear ...
Paul Wintz's user avatar
1 vote
1 answer
33 views

Is there a website that can plot vectorial functions?

I know Desmos can plot some things, not nearly as elegantly as Wolfram Alpha, but for vectorial functions I'm at a loss.
Emmannuelle_Legolas's user avatar
2 votes
1 answer
86 views

How to squeeze the logistic function obliquely?

The original function: $f(x) = \frac{1}{1+e^{-10(x-0.5)}} $. Its graph (blue line) is shown here: How can I squeeze this function obliquely along the $y=x$ line? The squeezed function $g$ needs to ...
Dong Cao-Huu's user avatar
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How to find the fit between two curves.

I am working on an investigation where I compare different paths of a surfer paddling out to catch a wave with a perpendicular current. I found an equation for one of these ways in which the surfer ...
Mr_Ryder's user avatar
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3 answers
110 views

Finding a tangent at a point $A(a,b)$ without the use of limits or derivatives.

Currently reading Gelfand's Functions and Graphs as part of pre-calculus and stuck on this question. The author discusses a way to find a tangent to a curve without the use of limits or derivatives ...
studyingsicp's user avatar
3 votes
2 answers
157 views

How to draw graph of cubic function

I am taking a course in calculus and wanted to refresh my memory before the semester starts. And I have been working on drawing graphs from cubic functions. I am not that experienced with LaTex and ...
Mampenda's user avatar
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Any ideas on how to add complexity?

I am investigating the path of a surfer who, starting at a point on the shore, is trying to paddle to a certain point directly in front of him (perpendicularly to the shore) while a current pushes ...
Mr_Ryder's user avatar
1 vote
1 answer
52 views

How to plot $W(\exp(-x))$ in wolframalpha or sage

I tried to plot the function $W(\exp(-x))$ in both WolframAlpha and Sage and I got: No result in Wolframalpha (empty 3d box or 2d chart). Empty set in SAGE. Any help?
riemannium's user avatar
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How to calculate standard deviation (σ) for a real time (live) data?

This is a graph of live data. The red band is a 'VWAP' Volume weighted moving average. I want to calculate standard deviation (1σ) of that red line. I have used the formula (image attached), where 'M'...
Ras_ 0612's user avatar
1 vote
0 answers
21 views

Parametric representation for alphanumeric characters

I have a strange problem. I'm trying to put some questions and answers onto the Moodle Learning Management System with STACK. STACK is a question type in some Moodle installations that allows for ...
Edward Doolittle's user avatar
2 votes
2 answers
124 views

How do the graphs of the "Birthday Probability" functions work?

The question was to find the probabilities that: At least two people have the same birthday Only two people have the same birthday Nobody has same birthdays in a room of n people. I did find the ...
AltercatingCurrent's user avatar
1 vote
1 answer
62 views

Finding local minimum and maximum and inflection point [closed]

I need to examine and draw the graph of the function: $${\displaystyle f\left(x\right)=\frac{x}{1+e^{\frac{1}{x}}}}.$$ I have problems with local minimum and maximum. First derivative is $$ f'\left(x\...
JohnB's user avatar
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2 votes
1 answer
107 views

Distance between $e^x$ and $\ln x$ using tangent/normal method

I have been trying to find the shortest distance between $f(x)=e^x$ and $g(x)=\ln(x)$. All methods I have seen include taking the $y=x$ line as the mirror and find a point on both curves which have ...
Himanshu's user avatar
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0 answers
35 views

Generalize a reflection of a function over a line

I want to write a parametric function that can take any function $f(x)$ and reflect it over a given line in the form $y=mx+b$ (excluding the vertical line). I know the reflection matrix is given by: $...
SebtheSong's user avatar
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0 answers
54 views

Conformal Maps of Quaternions

When we use the wolframalpha to plot a complex function, like $$f \left( z \right) = e^z, \text{ } z \in \mathbb{C}$$ , the program show us the conformal map, that take vertical and horizontal lines ...
Gabriel Fanini's user avatar
0 votes
1 answer
47 views

Searching for function that leads to given graph

I am in search of a function/equation, that gives me a graph similar to the one shown below. I want $y$ to start increasing slowly at first, then ramping up faster and after a certain range, after ...
Eiren's user avatar
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0 votes
1 answer
90 views

The parabola paradox - how can this be thought of or visualized

One thing that has been hard to wrap my mind around- take a power function such as $x^2$ or $x^8$. I know the domain of x is infinite, unbounded. On the one hand such power functions increase in slope ...
gcr's user avatar
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1 answer
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What is this type of graph called? $y=\frac{x-3}{x^2+9x-22}$

the teacher told us to draw a graph from a function and I was having a hard time until I graphed it out on Desmos. This is the output: Picture of the graph (the site won't let me upload the picture) ...
MaskTM's user avatar
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2 votes
1 answer
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Does $\frac{\sin x}{x}$ have a horizontal asymptote?

I recently came across a definition of an asymptote of a function as follows: The function gets infinitely close to the asymptote. The function does not cross the asymptote. This made me wonder ...
Atharv Rao's user avatar
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29 views

Sketch a parametric function

We have a parametric function here and we want to obtain a rough sketch of it. $$x(t)=t-\sin t\quad y(t)=1-\cos t$$ I found that $\frac{dx}{dt}=y$. But I don’t know how that will help me sketch the ...
YANGyu's user avatar
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0 answers
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Are there other ways to graph a zigzag line?

I teach precalculus and I was addressing a common misconception that students have when I came across something puzzling to me. When we graph $\sin^{-1}(\sin(x))$ and $\cos^{-1}(\cos(x))$ we get a ...
GhostyOcean's user avatar
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Bifurcation diagram Problem number 3.3.1 c from Strogatz

The question essentially asks the reader to draw a bifurcation diagram of the function $$n˙ ≈ pn/(n + 1) − n$$. The answer in the solution manual is: But the graph of the function for negative p is ...
GedankenExperimentalist's user avatar
1 vote
2 answers
118 views

Sign convention in trigonometric functions

So, as I have read and even been taught by my teachers, sign convention in trigonometric functions is based on the location of the respective x and y points denoting the coordinates of a particle ...
Chahak's user avatar
  • 111
1 vote
2 answers
75 views

How to prove that if $x^2+c\sqrt{b+x^2}=y^2+c\sqrt{b+y^2}$ then $x=y$?

I have a function of $x^2$ as $f(x^2)=x^2+c\sqrt{b+x^2}$ and $f(y^2)=y^2+c\sqrt{b+y^2}$ now suppose $f(x^2)=f(y^2)$, How can I prove that $x=y$ if there is a constraint that both $x$ and $y$ are ...
Anjanyea's user avatar

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