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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1answer
17 views

Help with graphing an exponential function

I know this is probably a very easy question, but how do you know the difference between an exponential that is decaying at an increasing or decreasing rate? I multiplied $e^{i2\omega}$ by a box and ...
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2answers
27 views

Which of the following equations have the same graphs? $(A)y=x-2\,(B)y=\frac{x^2-4}{x+2}\,(C)(x+2)y=x^2-4$

Which of the following equations have the same graphs? $1.y=x-2\hspace{1cm}2.y=\frac{x^2-4}{x+2}\hspace{1cm}3.(x+2)y=x^2-4$ I know that the graph of first and the second functions are different ...
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1answer
30 views

Plotting a function around $0$ shows it is jumping around, although the limit as $x\to 0$ exists

My problem revolves around the function: $$ f(x) = \frac{\sin(\tan x) - \tan(\sin x)} {\arcsin(\arctan x) - \arctan(\arcsin x)} $$ The $\lim_{x\to 0}f(x)= 1$. However, whilst approaching 0, there is ...
-1
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1answer
29 views

Sketching the graph of a fourth degree polynomial curve

My approach doesn't seem to work. $$(y^2-2)^2+(x^2-2)^2=2.$$ Any suggestions and solutions would be appreciated .
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0answers
15 views

How to create a set of equations using coordinates

We were tasked to graph an object for our project. We plot the eggplant on a cartesian plane and have coordinates for it The catch is we need to make different combinations of equations to connect ...
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1answer
19 views

Inequality problem for graph and straight line intersection

I have having trouble to solve a revised-GRE graph math where it is very essential to find the answer with shortest amount of time. The way I wanted to solve this math is, to find the ...
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1answer
22 views

How to sketch a graph given a function and nothing else?

First, apologies about the basic question, I'm a first time Calc I student with no prior calc experience. I'm looking for the general steps of how to sketch a graph given a basic function like ...
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0answers
11 views

Graph Sketching and Transformations

Sketch the following $$y = f(x)$$ $$y^2 = f(x)$$ $$y = f(x^2)$$ $$y^2 = f(x^2)$$ Obviously you can't sketch these, but how does each graph differ from the first one, i.e. how are they transformed ...
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2answers
63 views

What does $f(x,y) = x + y$ mean in graphing?

All right, so I'm supposed to graph these $5$ things: $$x \geq 3\\ x\leq 6\\ y \geq 3\\ y \leq 6\\ f(x,y) = x + y$$ I was able to graph the first four, but I have no idea what the last one means. I ...
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1answer
20 views

Is there free software to graph (draw) a time series plot over a period of time that I specify?

I have some data measured at 15 minute intervals. For a presentation, I'd like to plot (animate?) the data over the course of 30 seconds or so, so that the audience can have a sense of the changes at ...
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0answers
14 views

graphing of two realtions

We have the following relations: $$S_1=\{(x,y) \in Z^2:x+y>1 \text{ and } x>0 \}$$ $$S_2=\{(x,y) \in P^2:x+y>1 \text{ and } x>0 \}$$ We have to make the graph for each occasion. My ...
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1answer
11 views

What PC programs or iPad applications are there which allow you to plot cylindrical/spherical polar graphs?

I've been trying to get my head around the use of cylindrical and spherical polars to plot graphs. I feel that the easiest way to do this would be to try plotting some, but I'm struggling to find a ...
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0answers
29 views

Cumulative return, portfolio performance

I calculated the daily returns for 10 decile portfolios. Now I would like to make a diagram where the cumulative performance is shown or in other words the performance of the portfolio through the ...
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2answers
49 views

Sketching $y=a^x-a^{2x}, a>0$

When I need to sketch: $y=a^x-a^{2x}, a>0$, do I need to graph two functions? One when $0<a<1$ and the other when $a>1$? I didn't get any difference in the ascending descending ...
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1answer
30 views

Solving for coefficients in half sum of two exponential functions

Let $$G(x) = \frac{\exp(-ax) + \exp(-bx)}{2}$$ I need to find the coefficients $a$ and $b$. Given: A table of 10 values of x and their corresponding G(x) values. I need some help in figuring out ...
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1answer
13 views

Graph Transform

How do can I transform the first graph into the second. Methods, answers, any help would be much appreciated.
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2answers
657 views

Roots of ln of a square

Problem: $$ y=\ln((3x-2)^2) $$ State the domain and the coordinates of the point where the curve crosses the x-axis At first sight, you say that the domain is $x>\frac23$ because $\ln$ is ...
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2answers
21 views

How to notice symmetry?

What is the easiest method to notice the symmetry of the following function without using any graphical tool: $$g(x)=\frac{1}{\pi \sqrt{4-x^2}}$$
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1answer
25 views

How to graph functions from equations?

Sketch the graph of the following functions: $y= \lvert x-4\rvert -2$ $y = \left\{ \begin{array}{lr} x & \text{ if } x <1\\ x+1 & \text{ if } x >1 \\ ...
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0answers
29 views

Why does this odd glitch exist with graphing programs?

In Grapher on Mac and the TI-84's built-in graphing program, there is a problem with imaginary numbers. If I input $ i\sqrt {x}$, the graph ends up looking like this, even though it ought to look like ...
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2answers
41 views

Get rid of division in modulo

I'm writing a program, that draws horizontal stripes and blank spaces between them with the same height 44. So I made an inequality $({{y}\over{44}}) \mod {2} ...
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4answers
79 views

The solution set of the equation $x^{10}=10^x$

The solution set of the equation $x^{10}=10^x$ consists of $(A)$one negative and one positive number$(B)$one negative and two positive numbers$(C)$two positive numbers$(D)$two negative and one ...
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0answers
24 views

Plot in spherical coordinates in matlab

I have this vector function in sperical coordinate system $$\vec{E} =\frac{p}{4\pi E_{0}r^3}(2\cos(u) \hat{r} + \sin(u)\hat{u} ),$$ where $p$ and $E_{0}$ are known. I want to plot this function in ...
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2answers
84 views

Finding extrema of $\frac{\sin (x) \sin (y)}{x y}$

I need to find the extrema of the following function in the range $-2\pi$ and $2\pi$ for both $x$ and $y$, but I don't know how to go about doing it since it's a bit weird and not similar to other ...
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1answer
78 views

Where are the points of $\{z^{z}\in \mathbb{R}|z\in\mathbb{C}\}$?

I was curious to find out when, given $z_1,z_2\in \mathbb{C}$, I have that $z_1^{z_2}\in \mathbb{R}$ or $z_1^{z_2}\in \mathbb{I}$, where $\mathbb{I}$ is the set of imaginary numbers. So I used the ...
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0answers
13 views

bio heat equation modification

I have the bio heat equation as described .here And the solution to it is, But to this I am trying to include the effect from exercise intensity as well. So the modified bio heat equation is ...
3
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2answers
46 views

How do you sketch the Poisson distribution function: $L(\mu;n)=\frac{\mu^{n}e^{-\mu}}{n!}$?

When doing a maximum likelihood fit, we often take a ‘Gaussian approximation’. This problem works through the case of a measurement from a Poisson distribution. The Poisson distribution results ...
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1answer
14 views

Find the equation of the line for this impilcit differential

Here is the question. A set of points in this graph that satisfies the the equation of the line tangent to this curve at the point (0,4) So I started by finding the derivative But I am not ...
2
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2answers
40 views

Is there a quick method for sketching the general shape of $f(x)=x^2 e^x$ by inspection?

I would like to know if there is a way to sketch the graph of $f(x)=x^2 e^x$ without finding the axis intercepts, asymptotes, and differentiating to find the maxima/minima etc. I was informed that in ...
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3answers
77 views

Why the plot of $\sqrt{x}$ has no negative part??

We all know that for every real and positive number $N$ we have $$\sqrt{N} = \pm a$$ for example $\sqrt{25} = \pm 5$. Now: why the plot of the function $\sqrt{x}$ has only a positive part in the ...
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2answers
35 views

Find a minimum spanning tree using Prim's algorithm

I have the adjacency matrix: Where we have nodes a to g, and with their respective weights x means symmetry, and the spaces left out are positive infinity $$\begin{array}{c|c|c|c|c|c|c|c|} & ...
2
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2answers
125 views

How to integral $\int_{\sqrt{a}}^{\infty}{ e^{-t^2+\beta t} \sin(\beta t)}~\mathrm{d}t$?

I would like to plot the following integral but it gives undefined. Please kindly help me about solving the following integral to plot : $$ I(t)=\int_{\sqrt{a}}^{\infty}{ e^{-t^2+\beta t} ...
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1answer
18 views

Prove a relation of a distance function

I had to do an exercise with this function: $$ d_M:\Bbb C \rightarrow \Bbb R, \quad z \rightarrow inf\{ |z-w|; w \in M| $$ with $\emptyset \neq M\subset \Bbb C$. First I proved that this function is ...
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1answer
38 views

Does the graph of $\ln(-2 - |x|)$ exist?

I tried to figure out if this graph exists, but I don't know if I am thinking this right. The absolute value of $x$ is always positive and the minus in front of the absolute value of $x$ makes it ...
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3answers
107 views

How do I graph $r = 3 - 3\sin \theta$?

How can I draw the graph of $$r = 3 - 3\sin \theta$$ in polar coordinates? I know it's a Cardioid, but I'm not sure how to get the graph step by step.
2
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1answer
18 views

Graphs of functions

Is there a rule or way that will help us graph $f(\frac{1}{x})$ if $f(x)$ graph is known? Or is the only way plotting values? I thought of this question when we learned that the graph $f^{-1}(x)$ is ...
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1answer
30 views

I need help with these inequalities and if tests, not sure how to solve

Alright, so let's say you have this problem: $$x = -2\text{ and }x = 3\\ y = \begin{cases}2x + 3 & \text{if }x < 0\\ 2x + 5 & \text{if }x > 0 \end{cases}$$ ...
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0answers
32 views

How would I graph this implicit function in geogebra?

I am trying to graph the below equation in geogebra. \begin{equation} x\cos { (xy) } = 4 -y \end{equation} I was able to get wolframalpha to graph it but I am unsure on how to in geogebra. I am ...
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0answers
16 views

Shift function in a semi log chart

Given an equation: y = 3.1498 * 10^(0.0231*x) It graphs as follows on a semi log chart (y-axis base 10 log, x axis regular scale): Chart 1 I would like to ...
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0answers
5 views

How should I demonstrate the validity of this (family of?) stochastic model(s)?

I have a true value, $y$. Using some set of observations $X$ I can derive a model, $p(y|X)$ that is optimal. I have a second model, less perfect, which approximates the same using Monte Carlo ...
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1answer
41 views

What is the jump series representation for $f(x)\lfloor g(x) \rfloor$?

Basically, what I wish to find is the general notation for a series that when subtracted to a greatest integer function, fixes the graph into a stable line. I was thinking that the jump series for ...
2
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1answer
43 views

Reconstructing a function from its critical points and inflection points

For my class I have sketched the following graph which depicts certain critical points and curvatures including one local maximum, minimum, two inflection points and a saddle point (which is an ...
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1answer
15 views

Asymptote vertical / horizontal

I am finding Horizontal and vertical asymptotes of function $$x^{-3}e^{\frac{x^3}{3}}$$ and i have litte problem with horizontal, because $$y =kx +q$$ $$\lim_{x \to \infty}{\frac{f(x)}{x}} = k \in ...
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3answers
212 views

Plotting $\left(1+\frac{1}{x^n}\right)^{x^n}$.

When I plot the following function, the graph behaves strangely: $$f(x) = \left(1+\frac{1}{x^{16}}\right)^{x^{16}}$$ While $\lim_{x\to +\infty} f(x) = e$ the graph starts to fade at $x \approx 6$. ...
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4answers
881 views

Why don't sine graphs consist of semicircles below and above the x-axis?

I'd like to see the flaw in my logic in the following: I have a circle with radius 1. Therefore: ...
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2answers
38 views

How to find the limit of functions at $x=0$ when drawing graphs?

For example, sketch $y=x(\ln x)^2$. What is not immediately obvious is the limit of $y$ as $x$ approaches $0$ from the right. The same goes for $y=x^x$. Is there a way, in general, to find out the ...
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0answers
14 views

Monotonic transformation and contour lines?

Is there any formal proof to show that a function of two variables (say U(x,y)) and its monotonic transformation (say V(x,y)) will give contour lines of the same shape? Is this even true? I know we ...
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0answers
27 views

Tangent line to curve how to find if only the curve is known?

I wonder how to find the tangent line (at inflection point) to curve... if I doesn't have function, only the measurement of the fuction / t-time,y - values/...so I have the plot of the function. for ...
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1answer
31 views

Second Derivative Test Conditions

In my textbook, I have read that $f''(x)=0$ is a necessary but not sufficient condition for a point to be a point of inflection. However, what happens at vertical tangents where the second derivative ...
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1answer
33 views

Where is my error in finding the edgeworth expansion of the binomial distribution?

Let $B_n$ be a standardized binomial distribution. To illustrate the Edgeworth Expansion I made a plot showing $f(x)=P(B_n \le x)-\Phi(x)$ and $g(x)=\frac{p-q}6 (x^2-1) \phi(x) \frac{1}{\sqrt{npq}}$ ...