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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4
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2answers
30 views

Horizontal Asymptotes

Find all asymptotes of: $$f(x) = \frac{a + be^x}{ae^x+b}$$ The way I've been taught is that the $+a$ and $+b$ in the numerator and denominator respectively do not contribute when x tends to infinity,...
2
votes
1answer
68 views

Name this 2-dim Parametric Curve

is there a name for the following parametric curve? Thanks. I encountered it when playing around with the tangent lines and normal lines of an ellipse. The parameter $\theta$ is the same parametric ...
1
vote
1answer
20 views

Behaviour of the solution of an equations as a function of a parameter

Let $x$ be the smallest positive solution of the following equation $$x=\frac{1}{\beta}\ln x+a-\frac{1}{\beta}\ln a+c$$ where $\beta>1$ and $a,c\in(0,1)$ are fixed constants. I need to know the ...
3
votes
2answers
40 views

Are polynomial fractions and their reductions really equal? [duplicate]

I'm reading Larson's AP Calculus textbook and in the section on limits (1.3) it suggests finding functions that "agree at all but one point" in order to evaluate limits analytically. For example, ...
0
votes
0answers
10 views

How to get the output of a signal given the input and impulse

Here is my question So given the input and impulse response how would I go about getting the output? The output is given in solution (in teal) but I have no idea how to get it . thanks
0
votes
1answer
25 views

Finding the Intersection of Normal CDF and y=x and Plot the Relationship Between $\sigma$ and Intersection Conditional on Different $\mu$

I'm trying to investigate the intersections of the Normal CDF and the $y=x$ line for $\mu \in [0, 1]$ and $ \sigma \in (0, 1] $ when $ x \in [0, 1] $ and plot the corresponding relationship between $\...
1
vote
4answers
45 views

Inflexion Point

Find the number of inflexion points on $$f(x) = \frac{x^2-5x+4}{x^2+5x+4}$$ I graphed the function and got this: As you can see, there is a clear maximum and a clear minimum point on the graph, ...
0
votes
0answers
28 views

How to find significant bumps in a graph?

There is a graph with some bumps in it I want to filter the graph so that only those bumps with a base width in range of [W1-W2] and its height (from the point where bump started. Not the absolute ...
1
vote
0answers
22 views

Maximum point of a modulus function

For our project on Maxima and Minima of functions, we have to do functions of type $\frac{k}{|x-a|+|x-b|}$. So, I chose $f(x)=\frac{2}{|x-1|+|x-2|}$ I noticed that the derivative is positive for $x&...
4
votes
1answer
43 views

What direction should the graph be?

Graph the function $f(x) = \dfrac{x^2+2x}{x^2-4x+3}$, labelling all intercepts and asymptotes. I found the vertical and horizonal assymptotes myself.I plugged the problem into an online graph ...
-3
votes
0answers
31 views

Is an annulus with its outer circle excluded (< instead of ≤) considered bounded?

I have the function with its domain defined by x^2+y^2<25 and x^2+y^2≥9. This gives me an annulus, with the inner circle centered at the origin with radius 3 and the outer circle centered at the ...
1
vote
1answer
38 views

Solve for and Plot the Relationship Between Mean and Standard Deviation of a Normal Distribution Conditional on Satisfaction of A System of Equations

I am trying to use Mathematica, R, or Matlab to solve for (since it cannot seem to be solved analytically) and plot the relationship between mean and standard deviation of a normal distribution ...
0
votes
1answer
32 views

I'm having trouble understanding what this problem is asking me

This is the problem So my problem is that I dont know how to solve it... I have learned about system of inequalities and that kinda stuff, but I never got anything like this. I do not want anyone to ...
0
votes
1answer
23 views

How to make a graphic of this problem? [on hold]

I've got 4 parameters which are independent one from another, like $A,B,C,D$, the range of the parameters is $[0,1]\in \mathbb{R}$. Each one of them are a property of an object $\phi_k$. I've got 16 ...
0
votes
0answers
33 views

Why is the graph incomplete?

I've put this formula in google: log(2x-3) And it draws this graph: link to graph Why is the graph not being drawn all the way down? It is supposed to follow the ...
0
votes
1answer
27 views

How to visualize change over time of multiple items at once?

I'm writing a recommendation system for a news website. At any point in time, there are between 50-100 articles that are candidates for recommendation based on the algorithm, etc. What I'm trying to ...
0
votes
1answer
28 views

Correct Order of Applying Graphical Transformation with Absolute Value

I was going through this website, reading about transformations of graph when $| |$ is applied to various parts of a given function, $y=f(x)$. Going through the fourth example of the page, I came ...
-3
votes
0answers
10 views

How to graph hypocycloid on graphical calculator

I want to know how I can graph a hypocycloid using my TI-nspire calculator. I already know the parametric equations for hypocycloids which is: Parametric Equations of Hypocycloids Does anyone know ...
-1
votes
0answers
22 views

Absolute Value Graph Problem in Gelfand's Functions and Graphs

I am working through Gelfand's Functions and Graphs, where I am currently on the absolute value section. At the end of the chapter practice problems, Gelfand poses a set of problems regarding ...
1
vote
1answer
31 views

Unable to comprehend results of principal component analysis

(Image below) Image shows the principal component analysis of two points {(1,3), (3,1)}. u1 and u2 are drawn which are corresponding eigenvectors after PCA. The points follow a normal distribution N(0,...
0
votes
2answers
34 views

How do I add chart points together? [closed]

In this video, two points on a chart are added together. As each individual point has X and Y values, how is addition performed? I've researched 'adding chart points' and variations thereof but not ...
2
votes
1answer
24 views

How to graph a level set of $f(x,y)=\sqrt{4-x^2-y^2}$?

If the definitions are: $$D=\{(x,y) \in\mathbb{R}^2 \mid x^2+y^2<4\}$$ $$f:D\rightarrow\mathbb{R}$$ $$f(x,y)=\sqrt{4-x^2-y^2}$$ How do I graph the contour line (subset of $D$) where $f(x,y)=c$ ...
0
votes
0answers
15 views

Reading a 3d graph to generate a 2d projection.

I know this will sound very dum but I have spent some good time trying to understand before posting this question. Basically, I need some help in understanding how (a) and (b) are being used to ...
1
vote
1answer
41 views

How to find f(23) given part of the graph and that f(x)=f(x+6)? [closed]

I am very confused, how can $f(x+6) = f(x)$ for all $x$ since $f(x+6)$ would be a shift version of $f(x)$, unless it is a straight line? is the answer D? $6+6+6+6 =24$ $\Rightarrow$ $f(23) = f(5) = 4$...
1
vote
3answers
29 views

Determine equation for reflection of equation around y=x line

In the graph below I have two lines plotted: $y = x$ (solid line) $y = 0.04 x^{1.7}$ (hollow dots) How can I come up with an equation that is a mirror image (if that's the terminology) of the $y =...
0
votes
0answers
13 views

TI-nspire CX CAS Trig Integration / Graphing

I am having trouble with the TI-nspire CX CAS solving trig integration and graphing. When I try trig integration, I get this result: Integral from 0 to 6pi of sqrt((xsinx)^2+(xcosx)^2) dx it returns ...
-3
votes
1answer
27 views

Inverse function's condition .

To have inverse function, there should be condition of $1-1$ and onto function. Such as $f(x)= x+5$. But what about $f(x)=\frac{3}{x-1}$ (Here $x$ isn't equal to $1$). How it can be a onto function. ...
0
votes
1answer
21 views

Creating a logarithmic function with known $x-y$ axis intersections

I know that to plot a straight line that intersects the axis in point $(x_1,y_1)$,(x_2,y_2)$ one can use this equation. $$(x_2-x_1)\cdot (y-y_1)=(y_2-y_1)·(x-x_1)$$ To be more specific if i want a ...
-3
votes
2answers
66 views

Why do graphing calculators plot this function wrong? Wolfram Mathematica example.

Wrong graph of the function f(x)=-1^x The function in question is $f(x)=-1^x$ and the plot example is from Wolfram Mathematica. The graph is supposed to show a zig-zag otherwise known as the triangle ...
1
vote
2answers
33 views

I am skeptical of my results (percent rate of change)

Excuse the png equations, still a MathJax newbie. I am analyzing data I have computed: Alcohol content and Caffeine content retention after a duration of 8 hours for each. I had gotten the data in ...
0
votes
1answer
51 views
0
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3answers
36 views

What would be the graph of absolute value of $X - Y$

I am solving a question, where I need to find the expected value of the absolute value of $X-Y$ where $X$ and $Y$ are two independent uniformly distributed random variable. So I was looking for the ...
0
votes
4answers
37 views

Graphs being plotted despite being undefined.

I've not really understood why this happens. I'm quite new to the idea of limits, etc. But I've seen that when you use a grapher, it plots undefined points. For example in the function $f(x) = \frac{x^...
0
votes
2answers
44 views

Formula to find b in y=mx+b

I am trying find the formula to find b in y=mx+b. I have a scatter plot with 10 values. I have found ...
0
votes
1answer
41 views

Decomposing $\ln(x)$ into sum of even and odd function.

Can somebody help me break $\ln(x)$ into sum of even and odd function. As far as I know every function can be broken in such manner. Not being able to do this as $\ln(-x)$ and $\ln(x)$ cannot exist ...
0
votes
1answer
25 views

Analyzing and plotting function $f(x)=\lfloor\frac{3-x}{1+x^2}\rfloor$?

How to plot and analyze function $f(x)=\lfloor\frac{3-x}{1+x^2}\rfloor$? How to prove $\lim_{x\to -\infty}f(x)=0$ and $\lim_{x\to \infty}f(x)=-1$? My work: 1) Function is well defined for every $x\...
1
vote
2answers
55 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 ...
2
votes
2answers
30 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 ...
1
vote
1answer
22 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
votes
1answer
34 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
vote
1answer
46 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 ...
1
vote
1answer
82 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 ...
0
votes
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 ...
5
votes
2answers
71 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 ...
0
votes
3answers
47 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?
1
vote
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.
0
votes
0answers
15 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 ...
0
votes
0answers
10 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
votes
1answer
41 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 ...
0
votes
0answers
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 ...