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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14 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 ...
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0answers
10 views

Plotting Non Linear Programming functions

I define these functions in Matlab: ...
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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 ...
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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 ...
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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 ...
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0answers
25 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? $$ f(x)=\left\{\begin{aligned} &x^2-4&&:x>3\\ &2x-1&&:x\geq 3 \end{aligned} \right. $$
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1answer
24 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
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1answer
36 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 ...
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1answer
25 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, ...
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0answers
36 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 ...
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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 ...
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1answer
26 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^+} ...
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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 ...
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2answers
44 views

How do I graph this polynomial? $f(x)= 2x^2 (x+3)(x-4)$ [closed]

$f(x)= 2x^2 (x+3)(x-4)$ I must find the roots, $y$-intercept, and lead term. Can someone please explain to me how I can find these and graph the equation above? Thank you.
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1answer
8 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 ...
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3answers
33 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 ...
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1answer
18 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
26 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}} ...
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1answer
25 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 ...
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2answers
33 views

What is the function that generates this graph?

I have the following coordinates: ...
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0answers
18 views

What must probably be a very simple graph plotting in MATLAB

I've only recently started using matlab so I apologise for my inexperience but I am struggling with the last part of my assignment in which I need to plot different graphs in which my variable 'N' ...
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1answer
18 views

what is the difference between an elliptical and circular paraboloid? (3D)

My textbook uses the terms interchangably, and they look the same in graphs, so I was wondering if there a difference between the two? Thanks!
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1answer
24 views

Manually plotting some particular graphs

How to plot graphs like these manually: 1) $f(x)=\ln(1+x^2)$ 2) $f(x)=\frac8{2+x^2}$ 3) $f(x)=\frac{\sin x}{\sqrt{1+\tan^{2}x}}+\frac{\cos x}{\sqrt{1+\cot^{2}x}}$ I have no idea how to plot the ...
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1answer
39 views

Trigonometry question using complex numbers on the complex plane

I am not quite sure what this is asking, I tried to square these numbers and then convert into radians but it was not right. I am only used to graphing the absolute value of complex numbers. Let ...
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1answer
26 views

An explanation for sketching the graph of the family of circles: $x^2+y^2=2cx $

I found in the internet a graph for the family of circles: $x^2+y^2=2cx $ and I'm not sure I quite understood if its true or I would be able to draw it by myself. this is the graph: Aren't the ...
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3answers
24 views

Loci of Complex Equation

How does the loci of the equation $|z-(i+1)| = |1 + i|$ look like? I can't seem to visualise any points on the complex plane satisfying the above except the 2 obvious ones (2,2) and (0,0)... Is that ...
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2answers
29 views

Finding the asymptote of $\tan(x)$

Using limits to find the asymptote of a function $y=f(x)$ is usually done with limits as : if the asymptote is of the form $y=mx+c$ then : $m=\lim\limits_{x\to\infty} \dfrac{f(x)}{x}$ ...
3
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1answer
84 views

How to curve fit an unknown function?

I have data which can be described by $y=f(x,z)$ where $z$ varies from 170 ~ 154. Now values given by $ks$ are known sample values that equals value given in the table header, $uks$ are unknown ...
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1answer
22 views

Matlab noob looking for probably very basic advice to plot a curve [closed]

Basically just started to use Matlab and am struggling with this basic example. My function or variable d is undefined but am unsure on how to progress. If anyone can guide me through the first ...
2
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1answer
58 views

Why does the graph of $y=\gcd \left(\frac{x}{y},xy\right)$ seem to have 4 “straight” lines?

Why does the graph of $y=\gcd \left(\frac{x}{y},xy\right)$ seem to have 4 "straight" lines? Using https://www.desmos.com/calculator for plotting.
1
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2answers
33 views

How to get a linear plot of a power function?

Imagine I have a function of x as follows: $$y=f(x) = ax^2 + bx + c + \frac{d}{x}$$ And I am trying to plot this on a graph with y as ordinate and $x^{n}$ as abscissa. Now what value of n would give ...
0
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1answer
18 views

Relating functions - Calculus

I had been through this lecture from an MIT open course ware. Basic theme of this lecture is to explain the big picture of calculus, which is nothing but, relating functions. In specific, below ...
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0answers
38 views

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

First of all, let me define what I mean by "imposing." Basically, I mean graphing some function with respect to some other function, rather than with respect to the x-axis. To be more specific, for ...
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2answers
53 views

What does the graph of $5e^{it}$ look like on the complex plane?

I know that $5e^{it} = 5(\cos(t) + i\sin(t))$, but that doesn't really help me. What other information can I use to visualize this graph besides plotting many points and seeing what type of graph it ...
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1answer
32 views

The graph of tan(sec(x))

A lot of the trig_function(trig_function(x)) look something like this, with asymptotes that have infinite (?) oscillating (?) lines infinitely approaching them ...
2
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2answers
35 views

What derivative should be taken for relative maxima and absolute maxima (or minima)?

I get confused on what derivative should be taken for defining relative maxima and absolute maxima because some sources said to use first derivative while the others said to use second derivative. ...
0
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1answer
20 views

What does this volume represent?

I have been trying to draw this out for an hour now and cannot visualize it. $x$ is between $0$ and $1$, $y$ is between $0$ and $x$, and $z$ is between $x^{2}+y^{2}$. The $z$ line is just a ...
0
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1answer
28 views

How can I write the equation of this graph?

I have this simple graph : I want to write this graph in this form : f(t)= {1, if .... and 2, if ...} I can't fill these spaces, I can't come to a solution for this no matter how I try. Can you ...
2
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3answers
49 views

How to define $y= |x+2|+|x-3|$ in a piecewise manner

I need to define the function $y= |x+2|+|x-3|$ over the relevant intervals, but I am not entirely sure what this entails. How do I find the needed intervals? Plugging in different values gives me an ...
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1answer
34 views

Procedure for plotting domain $|2z+3|\gt 4$

I want to plot $|2z+3|\gt 4$. Firstly I plotted $|2z|\gt 4$, by taking it to be:$$|z|\gt 2$$ $$|x+iy|\gt 2$$ And this I am comfortable with, it is just everything greater than(in x or y values) than ...
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1answer
23 views

Drawing 3D level sets/curves

I was asked to Draw the level sets of $$f(x,y,z) = 9x^2-4y^2-36z$$ I under how to draw them with just two variables, but does anyone have any resources that could help me visualize drawing these ...
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2answers
39 views

$y=3^{\cos(x)}$ how to graph this goniometric function

Please help me with graphing this function $y=3^{\cos(x)}$ without grapher. Thanks in advance for all your procedures.
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1answer
33 views

How to graph $|z-1| <2$

Am I correct to rearrange this to $(z-1)^2 < 4$, and hence just graph as a circle or am I completely off?
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0answers
7 views

Transformation of graphs, finding the values of unknowns

I am a second grade IB student using "Mathematics Standard Level for the IB Diploma, Cambridge" book.This is the question I have a problem with: "Let f(x)=(3x-5):(x-2) a) Find the value of constants ...
0
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1answer
31 views

Transformation of graphs

Let $f(x)=(3x-5):(x-2)$ a) Find the value of constants $p$ and $q$ such that $f(x)=p+ q:(x-2)$. b) Hence describe a single transformation which transforms the graph of $y=1:x$ to the graph of $y= ...
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1answer
34 views

Power form of regression equation which is not centered at x=0?

For a given set of data, the power form of the regression equation is given by $$y=b\cdot x^{m}$$ where $$m=\frac{n(\sum \mathrm{ln}(x_i)\mathrm{ln}(y_i))-(\sum \mathrm{ln}(x_i))(\sum ...
2
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0answers
38 views

Fourier Series of the batman equation

I want to represent the batman equation as a Fourier Series. (I got the equation here : Is this Batman equation for real?) But a part of it is an ellipse and when I tried to calculate an the integral ...
0
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1answer
15 views

Write the equation for the surface generated by by revolving the curve around the indicated axis.

$x=2z^2$, revolved around the $x$ axis. How exactly do I go about this? I can plot the curve out and see that this is going to be an elliptic paraboloid oriented along the x-axis; however, I still am ...
2
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4answers
383 views

Could such a polynomial/rational function exist? [closed]

Is it possible for there to be a function, which has "nice values" for its $x$-intercepts, local extremes, and inflection points? By nice values, I essentially mean that all the $x$-intercepts, local ...
0
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0answers
10 views

trigonometry - find coordinates of inner triangle after rotation

here is my situation: I have a rectangle I'm rotating 30 degrees counterclockwise, how could I use trig to get the 3 vertices (corners) and lengths of the purple triangle sides and hypotenuse ...