# Tagged Questions

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

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. ...
401 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 ...
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,...
67 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 ...
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 ...
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, ...
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
25 views

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 ...
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 ...
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 ...
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 $A$ ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
524 views

### Intersection of a point and absolute value function contained within a circle

I'm attempting some crazy ideas while programming a game and ran into the following math problem that has been bugging me for a few days: Given a unit circle and a random point $P$ within the circle, ...
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,...
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 ...
29 views

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 ...
600 views

### Plotting a Function of a Complex Variable

I've been teaching myself complex analysis using "Introductory Complex Analysis" by Richard A. Silverman, and I'm a few chapters in and still have no clue how to plot anything. I know that  z = x + ...
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 ...
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 ...
49 views

### Plotting a linear graph with non-linear values

I am having trouble figuring out how to plot the data below in a linear fashion. What I want is a straight line that relates temperature (left column) and heat capacity (right column) and I'm not sure ...
### 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 ...