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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-3
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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
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 ...
4
votes
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
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 ...
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 ...
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 ...
-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 ...
0
votes
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 $A$ ...
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
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 ...
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 ...
-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 ...
0
votes
2answers
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, ...
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 ...
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
1answer
19 views

Maximum of a cosine graph

I am working on part b). I have determined, by graphing, that the maximum value is $4$ (at $x=0$, $y=4$; the max point is $0,4$) Now, to find an expression for part b, I was trying to find the period ...
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 $f(x,y)=c$ ...
36
votes
3answers
2k views

Is “imposing” one function onto another ever used in mathematics?

First of all, let me define what I mean by "imposing," and let me clarify that I've only studied this operation in 2D Euclidean space. Now then, to impose one function onto another, you need two ...
1
vote
2answers
426 views

Plotting 0-360 degrees

I have some direction (bearing from north) data in degrees. Some of this data jumps between 1-360 degrees when plotted as a line graph, which is not easy to read, as the variation is actually only 1 ...
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 ...
4
votes
1answer
884 views

Plotting discrete time signals involving sumations in matlab.

Many of the examples I've encountered while looking for an answer are simple functions that do not involve summations. Suppose I have the following function; ...
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? $6+6+6+6 =24$ $\Rightarrow$ $f(23) = f(5) = 4$...
0
votes
1answer
32 views

Complex mapping problem and unsure if mistake in sheet

The following is based on the topic Complex Mapping. Example: Find the image of a straight line $2x + y = 1$ under the mapping $w = (1+i)z + 3i$. Solution: Let us rewrite the mapping ...
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 ...
1
vote
4answers
763 views

Proving $\cos \theta = \sin\left(\frac{\pi}{2} - \theta\right)$ for all $\theta$

By drawing a right triangle it is obvious that $\cos \theta = \sin\left(\frac{\pi}{2} - \theta\right)$. I'm trying to prove to myself that this is true for all values of $\theta$ by following the ...
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
1answer
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 + ...
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
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 ...
1
vote
2answers
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 ...
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^...
5
votes
1answer
94 views

Graphing a Piecewise Function

I graphed this function below. I want to make sure I am graphing piecewise functions such as this one correctly.
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 ...
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 ...
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 ...