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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2answers
25 views

Region closer to one given point than to any other given point

(Q) *Consider 6 points located at P0=(0,0), P1=(0,4), P2=(4,0), P3=(-2,-2), P4=(3,3), P5=(5,5). Let R be the region consisting of all points in the plane whose distance from P0 is smaller than that ...
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1answer
48 views

Function graphs comparison

I'm asking a graph question that has bothered me a while. I'm considering two graphs here: $$ y=(x+2)^2 $$ $$ y=x^2 + 4 $$ As can be seen, both the difference is a mere $4x$. I would like to know if ...
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1answer
16 views

How to find last pt of triangle

How to find last pt of triangle. I got (1,7) and (0.5, 4). The equations are y = 3|2x − 1| + 4 and y = −|x − 4| + 10
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1answer
50 views

What does “symmetric about the origin” mean?

What does it mean when a graph or a point on the Cartesian plane is symmetric about the origin or with respect to the origin?
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1answer
30 views

Dissection of strange graph

I want to know why the graph in Strange graph problem looks how it does. Can someone explain? Here's the inequality: $(|x|−1)^2+(|y|−1)^2<2$ You can graph this equation at ...
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1answer
69 views

Describe the graph of f if the graph of its integral its given

Describe the graph of $f$ if the graph of its integral $g(t) = \int_{0}^{t} f(s) ds $ is: graphic of g graphic of f I analyze the derivative and the sign of the derivative and try to find ...
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1answer
30 views

How do you graph a fractal on a line, as a function of time and position?

I'm writing ANSI C code for work and just got working my LED Light Show Library. The first project it's going on is a sound bar with 10 volume indicator (1-color (white)) leds that are lined-up. ...
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1answer
25 views

Sketch the graph

Study the derivatives of the function $y={(x^3-4x)^{1\over2}}$ and sketch its graph on the real line. My approach: 1. range of $x$ is $(-2,0)\bigcup (2,\infty)$ 2 . Slope of $f(x)\to\infty$ as ...
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2answers
29 views

$y = xe^{−1/|x|}$ for $−∞ < x < ∞$

(a) Let $f(x) = x − xe^{−1/x}, x > 0$. Show that f(x) is an increasing function on $(0,∞),$ and $\lim_{x→∞} f(x) = 1$. (b) Using part (a) and calculus, sketch the graphs of $y = x−1, y = x, y = x ...
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2answers
28 views

Find the graph of the derivative

The graph of a function $f$ defined on $(0,2)$ with the property $\lim_{x\to 0^+}f(x)=\lim_{x\to 2^-}f(x)=\infty$ is as follows:
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1answer
25 views

Plot a fourier series

I'm not a mathematician but I hope my question is easily answered. I'm trying to learn about graphing equations in a computer application (I'm a programmer). From this link a fourier series is ...
2
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1answer
25 views

Predict the nature of the curve

$$f(x)=\int_0^{\sqrt{x}}e^{u^2\over x}du$$ Hence predict the graph of $f(x)$:
2
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0answers
52 views

$x^{y}=y^{x}$ Intersection Question

I'm looking at this problem, $x^{y}=y^{x}$ and the question is to find the point of intersection of the two curves that form a solution set. I understand how to find the point of intersection using a ...
1
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0answers
15 views

Shape of graph and plot

Suppose $x \in [0, \infty)$ and $y \in [-1,1]$. When we plot $y$ vs. $x$, we get an upward parabola shape. Suppose we plot $y^2$ vs. $x$. Would the shape also be approximately an upward parabola?
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5answers
128 views

Points on $(x^2 + y^2)^2 = 2x^2 - 2y^2$ with slope of $1$

Let the curve in the plane defined by the equation: $(x^2 + y^2)^2 = 2x^2 - 2y^2$ How can i graph the curve in the plane and determine the points of the curve where $\frac{dy}{dx} = 1$. My work: ...
2
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4answers
101 views

Understanding the graph for $x^y = y^x$

I graphed $x^y=y^x$ and it is a union of the line y=x, with some other curve. So my first question is, how do I derive that other curve? My next question is, why don't I get the same graph when I ...
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1answer
25 views

Mathematics to compare points

I am not sure if this a question for the mathematics stackoverflow or some other. If it is then please move it. Basically, I have a programming challenge where given list of points (which form a line ...
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1answer
63 views

Sketching the spectrum of a signal

The figure below shows Fourier spectrum of a signal $g(t)$ Sketch the spectrum of the signal $2g(t)\cos^2(100\pi t)$. Show value in sketch.
2
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2answers
67 views

Strange graph problem

I'm trying to figure out this question: in the Cartesian coordinate system, how many grid points (x,y) satisfy $(|x|-1)^2 + (|y|-1)^2 < 2$? When I plugged it in to a graphing calculator, it didn't ...
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3answers
31 views

Graphing a Circle that doesn't have two of each variable

Graph the circle: $$x^2+y^2-2x-15=0$$ I know how to approach this problem if there were two $y$ and $x$ variables. But there is only one $y$ variable. How would I approach this?
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1answer
160 views

How do you minimize “hinge-loss”?

A lot of material on the web regarding Loss functions talk about "minimizing the Hinge Loss". However, nobody actually explains it, or at least gives some example. The best material I found is here ...
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0answers
46 views

How to find change points in a graph on matlab

I have a graph like this I need to find points at which sudden changes happening for the DPC Time Curve. We can observe that at time 20 and around 70 increase is happening. How to do this in Matlab. ...
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1answer
26 views

Curve Sketching - transforming f(x) to f(a-x)

In class I learnt that to sketch $y=f(a-x)$ given a graph of $y=f(x)$, you reflect the given graph about the line $x=a/2$ (this was proven to us). And then the teacher said that something we ...
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1answer
66 views

Is there closed form for $(1-p)(1-p^2)(1-p^3)…$ or its Taylor expansion?

I was considering the following problem: Somebody uses a backup for something (e.g. backups a file) and the backup is equally reliable as original storage. The storage is not perfectly reliable and ...
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0answers
6 views

Steps in Anlaysing Surface Plot

I have two vectors ${\bf x}$, ${\bf y}$ such that $0 \leq x_i, y_j \leq 1$ and a third vector ${\bf z}$ where $z_i \in \{0,1\}$. Each row of the vectors represents an 'observation' and I am trying to ...
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3answers
67 views

Find the locus of points

Find the locus of points, the distance between them and the point $(2,1)$ is equal to the distance between them and the straight line $4x = 3y$ I know that it is the definition of a parabola But I ...
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votes
2answers
61 views

What is graph of graph of $y = (x-1)\sqrt{x}$

The book "A student's Guide to Fourier Transforms" 3rd edition, by J.F.James, published by C.U.P., on pages 20 and 21 quotes the equation $y = (x-1)\sqrt{x}$ as an example of one that does not meet ...
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0answers
35 views

How do I convert a function $f(x)$ to $f(\frac{x}{a})$?

I have a pretty simple problem but I kinda am confused. I have the function $$f(x)_a = \sqrt{\frac{2}{\pi}} \cdot \frac{Aa}{x^2 + a^2}$$ And especially: $$f(x=0)_a = \sqrt{\frac{2}{\pi}}\cdot ...
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2answers
47 views

creating graphs in wolfram alpha

I am trying to plot the function $$\max(x-40,0)$$ in Wolfram|Alpha, but I can't figure out how. What Wolfram|Alpha query URL should I use to produce this graph? Or, what similar online program could ...
2
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1answer
26 views

Sine Graphs Equation Meaning

What do each of these numbers mean in this equation for sine graphs? y = -3sin[2(x-30)] + 1 I know 1 = shift up What does the rest mean? thanks.
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0answers
19 views

Interpreting functions of graphs

The question asked which of the following is false. I narrowed it down to two, and the correct answer is E with it doesn't cross the x-axis at all. D. f(x) * g(x) intersect the x-axis three times E. ...
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1answer
29 views

Drawing a graph of $x\cos\left(\frac 1x\right)$

I have been given a question which asks to draw the graph of $x\cos\left(\frac 1x\right)$ without a calculator. However, I'm unsure as to how to do this. It may involve differentiation as that was the ...
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2answers
17 views

Scale 'priority' where 1 is larger than 3 for graph

I simply want change a scale on graph so that 1 is largest value and three is smallest. I have data in excel. A function would preferred as I do not want to simply swap the values.
2
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2answers
46 views

Problem with powers

I hope this has not been asked already. while reading a material on upper bounds of polynomials (time complexity) they compared growth of various polynomial functions (like $N\log N$, $N^2$, $N^3$, ...
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1answer
32 views

description of the function whose graph corresponds to Figure

Consider f be a real continuous function , $f(0) = 0$ , and whose graph has the form shown in the figure: a) How can a give description of the function whose graph corresponds to Figure. b) Sketch ...
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1answer
32 views

Graphing $f(x)=\log7(x-7)-4$ [closed]

Could someone help me get started on this problem? Graph function $f(x)=\log7(x-7)-4$. Show at least two points and dash in any asymptotes. I'm not quite understanding how to find points with ...
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0answers
17 views

Trouble calculating surface area

I am trying to calculate the surface area of a solid of revolution of f(x) about the x axis for the interval [1,6] $f(x) = \begin{cases} 1 & 1 \leq x< 2\\ 1/2 & 2 \leq x< 3\\ . ...
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1answer
30 views

Finding surface area of revolution

Can anyone help me with finding the surface area of a solid of revolution of f(x) about the x axis for the interval [1,6]. It's supposed to be able to be done without needing calculus but I am having ...
1
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1answer
51 views

Finding volume of the solid of revolution?

Can anyone help me with finding the volume of a solid of revolution of f(x) about the x axis for the interval [1,6]. It's supposed to be able to be done without needing calculus but I am having ...
0
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1answer
83 views

Drawing polar graphs when given theta in terms of the radius

I know how to plot when it is like $r=10 \cdot \sin(2\theta)$. But how to do that when the condition is like: $\theta =2 \pi \cdot \sin(r)$?
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1answer
41 views

Problem with graphing a function.

To my understanding, function $f(x)=\frac{1+x}{1+x^3}$ should not be defined with $x=-1$ since: $f(-1)=\frac{1+(-1)}{1+(-1)^3}=\frac{1+(-1)}{1+(-1)}=\frac{0}{0}$ However, Google's plot drawer and ...
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1answer
30 views

What is the domain of $Z=\sin(\ln(x\,\arccos{y}))$?

What is the domain of $Z=\sin(\ln(x\,\arccos{y}))$? I see that is should be $-\dfrac{\pi}{2}\leq \ln(x\,\arccos{y}) \leq \dfrac{\pi}{2}$ and then $e^{-\dfrac{\pi}{2}} \leq x*\arccos(y) \leq ...
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3answers
40 views

What is the domain of $z=\arcsin\dfrac{x}{y}$?

I get that it should be $|y|>|x|$ and in the Wolfram it looks like this. But when I graph it by hand is that it should be only the "upper" part of intersection and not the "bottom" part as well, ...
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1answer
22 views

Finding solutions using graph

Find the number of solutions of the equation $$|\ln|x|\;|=\sin(\pi x)$$ I know how to draw roughly the graph of $|\ln|x|\;|$. However, at $x=1$, both the graphs will pass through $(1,0)$. How do I ...
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2answers
49 views

How to plot not only the result but also the derivatives of an ode using the ode45 function in Matlab?

I have already successfully run a code for the simulation of the deflection of beams under different loadings. I used the Matlab program and the ode45 solver for Initial value Problems and bvp4c ...
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1answer
75 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 ...
1
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0answers
41 views

How to approach sketching sine and cosine graphs with transformations

Any tips or suggestions in sketching these graphs quickly, and in ONE go? In exams, I don't want to spend ages re-drawing the original sine/cosine graph, one by one, following each new ...
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3answers
73 views

Plotting a region in $3D$ space

I would like to know if someone knows of a software where I can plot the following region $$ D = \{ (x,y,z) \in \mathbb{R}^3: 0 \leq x \leq 1 , \; x^2 \leq y \leq x, \; \; 0 \leq z \leq x \} $$ ...
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1answer
77 views

Matlab Cropping Plots

I want to adjust the amount of whitespace that is shown when plots are generated. I found this command to do just that: ...
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2answers
88 views

Roots of $x^4-3x^2+x-\sin x$

Is there a logical/qualitative argument to find out the number of roots of $x^4-3x^2+x-\sin x$ ? I tried plotting graphs for $x^4-3x^2+x$ and $\sin x$ to check the points of intersection but it only ...