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

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2
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1answer
8 views

Equation for sinusoidal wave with fixed wavelength and amplitude

I am a programmer. I am writing a program in which I need to show a graph plotted to the user when the user adjusts two sliders, which are the amplitude and wavelength of the wave, say...
0
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0answers
7 views

MuPAD AxesTitleFont [on hold]

I want to plot a 3D plot in MuPAd with different fonts for the three axes. The X and Y axes shall be in normal letters while the Z axis should be a greek letter. If I use AxesTitleFont=["Symbol"], all ...
1
vote
2answers
31 views

Function Composition Thinking Problem

Here is the question: A banquet hall charges $\$975$ to rent a room, plus $\$39.95$ per person. Next month they will offer a $20\%$ discount off the total bill. Determine two equations, one for ...
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2answers
32 views

Finding two functions $f(x)$ and $g(x)$

I am not sure how to approach this question. It asks to find $f(x)$ and $g(x)$ such that $h(x)=f(g(x))$, for each function: a) $$h(x)=\sqrt{x^2 + 6}$$ b)$$h(x)=\frac{1}{x^3}-7x+2$$ If someone ...
0
votes
1answer
22 views

Determine the value of combined functions with square roots

The question I have is to determine the value of $f(g(x))$ given $f(x)=\sqrt{16-x^2}$ and $g(x)=x^2$ I know generally how to tackle these kinds of questions, but I am not sure what to do when there ...
0
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3answers
26 views

Find the domain of combined functions

I have a question asking to find the domain of $g(f(x))$ given $f(x)=2x^2+x$, and $g(x)=x^2+1$. I can easily do these questions in reverse when you have to find $f(g(x))$, but when having to find ...
1
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1answer
28 views

Draw a line, output equation?

I am looking for an app or computer program that can spit out an equation of a line that you draw. I don't know any programs like this, so maybe someone can help?
0
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0answers
6 views

Plotting with three y-axes in Maple

To have two y-axes in Maple there is a dualaxisplot command: http://www.maplesoft.com/support/help/Maple/view.aspx?path=plots/dualaxisplot Is there similarly a ...
0
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0answers
18 views

R Studio help - qqnorm [on hold]

I'm loading in a file called data and using the command qqnorm like this data <- read.table("data.txt", header=TRUE) qqnorm(data) And get the error message "Error in xy.coords(x, y, xlabel, ...
0
votes
1answer
20 views

Does the function have horizontal or vertical asymptotes?

So I'm analyzing some functions here and I need to determine whether or not they have horizontal or vertical asymptotes. The equations are: $f(x)=260$ $g(x)=1+24(0.9)^x$ $h(x)=f(x)/g(x)$ Now ...
1
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2answers
12 views

Horizontal and Vertical Asymptotes of functions

So I'm completing a chart analyzing the different properties of three different functions: $f(x)=\log(x^2+6x+9), g(x)=\sqrt{x^2 -1}$ (sorry not sure how to do square roots on here), $h(x)=f(x)(g(x))$ ...
0
votes
4answers
63 views

If the range of a function is $[a,b]$ ,where $a,b \in \mathbb N$ ,find $f(a+b)$.

Let $f(x)= (x+1) (x+2) (x+3) (x+4) + 5$ where $x \in [-6,6]$. If the range of this function is $[a,b]$ ,where $a,b \in \mathbb N$ ,find $f(a+b)$. ATTEMPT: Sketching the graph the we know that ...
0
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0answers
18 views

How is this an untable limit cycle?

I am investigating the Lorenz equations and in MATLAB I have plotted a case with $\sigma = 10, b = 8/3, r = 21$ and I have this phase portrait: However I am not exactly sure how this is an unstable ...
1
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2answers
19 views

How would the following graphs differ in shape?

This is a mechanics question but is pretty much mathematical so I figured I should post it here. If I had a particle dropped from rest and it had resistance $mkv$ where mass is $m$, $v$ is ...
0
votes
1answer
64 views

prove that the equation has just one root.

prove that the equation $$2^x + 3^x + 4^x - 5^x =0$$ has just one root. ATTEMPT: Write $2^x + 3^x + 4^x = 5^x$. By sketching the graphs it is confirmed that they will intersect at somewhere ...
1
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3answers
29 views

Fourier series sketching

Whenever I am asked to draw fourier series, is it correct to first draw the function on the interval first (in this case 0<= x < pi), then extend the the graph to the desired interval ...
-1
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0answers
15 views

Matlab angle over time diagram [closed]

Im trying to create a matlab plot like the one following where it shows the progression of a pendulum over time, I have arrays filled with the time values and corresponding angles. Is there anyway I ...
2
votes
2answers
53 views

How would I make a graph for $\sqrt{x+1}-3$

I have to make a table for $\sqrt{x+1}-3$ and I can't figure out how to find the $x$ values. I know that I have to get the middle section to equal perfect squares, which are $0,\ 1,\ 4,\ 9$ but I ...
4
votes
4answers
71 views

If $f'(c) \neq \frac{f(b)-f(a)}{b-a}$, then find number of such $c$.

Let $f(x)=x^3+3x+2$ and $x=c$ is a point such that $$f'(c) \neq \frac{f(b)-f(a)}{b-a}$$ for any two values of $a$ and $b$, where $a,b$ and $c \in \mathbb R$. Then find the number of ...
2
votes
1answer
40 views

What is the line $y=x$ and $y=-x$ called?

I know that some non-english mathematicians use first median to mean the identity line $y=x$ (i.e. line considered in $\mathbb R^2$) and second median to mean the line $y=-x$. I don't suppose this is ...
0
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3answers
45 views

Visualizing closed balls

Consider the vector space $C([-\pi,\pi])$ of all continuous functions on the interval $[-\pi,\pi]$ equipped with the norm $$||f||= \max_{x\in[-\pi,\pi]}\{|f(x)|\}.$$ sketch the closed ball of center ...
1
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0answers
40 views

Finding probabilities of a continuous random variable

I have the following continuous random variable density function: $$ f(x) = \begin{cases} \frac14 & if\,0\le x<1 \\ \frac12 & if\,1\le x<2 \\ a & if\,2\le x<4 \\ 0 & ...
0
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0answers
11 views

Graphs Approaching Asymptotes

I've been wondering this for a while. For graphs that approach asymptotes, are there certain formulas that can determine the distance between the graph and the asymptote as $x$ gets infinitely small ...
1
vote
1answer
23 views

Parabolas and lines…

Sooo... I have just received this question. 'Draw the graph of $y = x^2 + 3x - 2$'. Now, I can do this just fine. Then it says 'draw a line on the graph to solve the following equations. $x^2 + 3x ...
1
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0answers
22 views

Realistic Bounce (Using Trig?)

background: I am making a graphics program where the major purpose of it is to have a ball (traveling on an arbitrary slope) to bounce realistically off of a line (which is also at a arbitrary slope). ...
2
votes
2answers
30 views

How to convert from cartesian to polar equation

I am trying to convert the equation $y=4/x$ into a polar equation. I have done this work but I am not sure if it is right. I just subsituted $r\sin(\theta)$ for $y$ and $r\cos(\theta)$ for $x$ and ...
0
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0answers
20 views

What does the last range on a histogram represent?

In a textbook maths problem I've got a continuous variable $m$ that could take values from 0 to 100 (inclusive). In the question, the author writes the following: $0 \leq m < 10$ $10 \leq m ...
0
votes
1answer
17 views

How to derive sigmoid function from e by scaling & translating?

The Sigmoid function is like this: $\frac{1}{1 + e^{-x}}$ Can it be derived by simply scaling and translating the graph of $e^{-x}$ ? It looks to me as thought you could: 1). Translate it up, by 1 ...
0
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1answer
26 views

Plotting graph in Wolfram Mathmatica?

Which is the function that can plot me the graph K 7, 2 in mathematica? And after that to delete 2 edges?? Thanks for the help.
0
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2answers
37 views

Draw the graph of $y=e^x \sin x$ (without using a graph calculator)

I am having a whole lot of problem with these graphs. If I try to sketch the graph taking the function $y=e^x \sin x$ itself,it becomes a bit complex. I can seperately plot the graphs of $y=\sin x$ ...
0
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0answers
52 views

Sketch the graph of $y=e^x+e^{-x}$ [without using a graphing calculator]

By studying the functions $y=e^x$ and $y=e^{-x}$ separately, I can easily plot their graphs But i cannot compile these 2 graphs to bring the required one. Can you please tell me the process of ...
0
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2answers
29 views

Converting an NFA to DFA

I am atttempting to convert an NFA into an equivalent DFA. I did it, but i am not sure if it is correct. If anyone can please take a look at let me know if it is correct or if there is something wrong ...
0
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0answers
12 views

Plotting Non Linear Programming functions

I define these functions in Matlab: ...
1
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1answer
14 views

Argument of the function $2 \frac{\sin(x)}{x} + \frac{\sin(x/2)}{x/2} e^{-i x/2} $

Plot the argument (phase ) of the Complex function $$2 \frac{\sin(x)}{x} + \frac{\sin(x/2)}{x/2} e^{-i x/2}$$ This can be written as $$\frac{1}{ix} (e^{ix} + 1 - 2 e^{-ix})$$ Wolfram shows ...
1
vote
2answers
29 views

Help Finding the Equation of a Line with a Given a Point and a Slope

I have been receiving a lot of help today and I really appreciate it, I am nearing the end of my class and need help studying for my final. In my review I came across a problem that i am having ...
1
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2answers
30 views

Study the function $y=(x^3-4x)^{1/2}$ & sketch its graph (without using a graphing calculator).

$y=(x^3-4x)^{1/2}$ or, $y^2=x(x+2)(x-2)$ So, $0,+2,-2$ are the roots of this function. Then I can find out $f'(x)$, $f''(x)$, thus finding the maxima & minima of the function. I can separately ...
1
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0answers
26 views

How do I find the domain and range of this piecewise defined function?

Are both conditions true when $x>3$? If so, how do I graph it? $$ f(x)=\left\{\begin{aligned} &x^2-4&&:x>3\\ &2x-1&&:x\geq 3 \end{aligned} \right. $$
1
vote
1answer
25 views

Draw the graphs of $y=x-1$, $y=x$, $y=x+1$, & $y=xe^{\frac{-1}{|x|}}$ for , $-\infty< x< \infty$ using the same $X$ and $Y$ axes.

In the above question, I could easily plot the linear equations. But I don't know how to plot $y=xe^{\frac{-1}{|x|}}$. Can you please explain me, how to draw this exponential curve? Thank you
1
vote
1answer
40 views

Physical significance and graphical point of view of second derivative of a function $f''(x)$ .

This was just going through my mind - $f'(x)$ represents slope of a function. Then what does $f''(x)$ represent? For example, we define strictly increasing and strictly decreasing functions in some ...
5
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1answer
56 views

Best program for creating educational math animations?

I'm looking for recommendations on what program to use for creating mathematical animations. These animations will be used in creating educational videos for high school math -- Trigonometry first, ...
0
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0answers
38 views

Why does the graph of $y=\cos 2x+\cos 4x$ look so different from the functions $y=\cos 2x$ and $y=\cos 4x$?

What is $y=\cos 2x+\cos 4x$? and why does its graph look so different from the functions $y=\cos 2x$ and $y=\cos 4x$? I don't understand why this function does not follow the general rule ...
0
votes
1answer
32 views

Suppose that a particle is located at the origin $(s = 0)$ at time $t = 1$ and moves along the line with velocity $v(t) = t^{-2}$.

Suppose that a particle is located at the origin $(s = 0)$ at time $t = 1$ and moves along the line with velocity $v(t) = t^{-2}$. How can I find the position s as a function of time? And how can I ...
0
votes
1answer
27 views

Graph of function

I know this is an elementary question, but I'm having some problems in graphing the following function: $$f(x) = \arctan(\ln x)$$ I know I have to evaluate these limits: $$\lim\limits_{x \to 0^+} ...
1
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2answers
30 views

Trying to solve for x when you have sine and cosine in the function

Graph $f(x) = \sin (x^2)$ I need to graph $f(x) = \sin (x^2)$ from $-2\pi$ to $2\pi$ and from that, I need to include the first derivative which is set to zero and used to find the maximum and ...
0
votes
1answer
9 views

Graphs of functions defined by convolution

A sequence of functions on the real line is defined as $$f_0=\chi_{[-1,1]},\qquad f_{n+1}=f_n*f_0, n=0,1,2,\dots $$ Here * means convolution. I tried to draw the graphs of the functions and see what ...
1
vote
3answers
37 views

Looking for the function of x for a line that approaches, but never reaches 100

I'm looking for the function of x for a line that intersects at (0,0) and (100,80), and as x goes off into infinity, the line approaches, but never touches 100. See image attached. I am writing a ...
0
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1answer
24 views

Finding equation of hyperbola with only foci and asymptote

This is a concept we learned in class today, which I still can't seem to grasp. I have no specific question that necessarily has to be done, so I will use one of the examples my book gives me: Given ...
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0answers
29 views

Increasing/ decreasing functions

We are given a random variable x with a pdf f(x) and F(x) is its distribution function. Let $$r(x) = \frac {xf(x)} {1-F(x)} $$ Then for $x< e^{\mu} $ and $$f(x) = \frac {e^ {1/2(\log x - \mu)^2}} ...
0
votes
1answer
27 views

Is it possible to create a parabola by intersecting a hyperboloid of one sheet and a plane?

By which I mean, is there anyway that the intersetion of a plane and a hyperboloid of one sheet will be a parabola? I know that intersecting a plane and a cone so that the plane is parallel to the ...
1
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2answers
34 views

What is the function that generates this graph?

I have the following coordinates: ...