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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9
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9answers
2k views

examples of functions with vertical asymptotes in real life

As a math teacher, I tend to get the class involved by finding real-life applications of the math- with functions and vertical asymptotes I am having trouble finding simple enough (rational) functions ...
-2
votes
1answer
53 views

Analysing the derivatives of a sketched curve

I have the following graph and want to know: Are these statements correct and if not why? question A: $f'(-2) > 0$ question B: $f(0) = 0$ and $f'(0) = 0$ and $f''(0) \neq 0 $ question C: there ...
0
votes
0answers
92 views

What is a good book to train drawing graphs of function?

I am about undergraduate here , and I just want to ask what is the best book for drawing graph of functions as I am very weak in drawing graphs
0
votes
3answers
45 views

Function graph transformations

I'm looking for a reliable document with formal mathematical justification of how and why graph transformations work. Given a function $f(x)$, what is the graph of $f(a-x)$? Why should we shift $f(x)$ ...
0
votes
1answer
44 views

Plot a set, given in cylindrical coordinates, with Maple and $\text{plot3d}$

I want to plot the set $\phi(A)$ with Maple, where $$\phi:[0,\infty)\times[0,2\pi)\times\mathbb{R}\to\mathbb{R}^3\;,\;\;\;(r,\phi,z)\mapsto(r\cos\phi,r\sin\phi,z)$$ is the transformation in ...
0
votes
2answers
40 views

Graph of $y=\text{constant}*x$

Graph of $y=x$ , $y=\frac{1}{2}x$ and $y=\frac{1}{4}x$ is All are straight line. But with different slope. Why?
0
votes
0answers
35 views

Phase difference of two signal of different frequency

Currently, I have two signals, the main components of both signals are 60Hz, but both also have weaker response at 180Hz + small amount of noise. As shown in the photo below, I want to find the phase ...
0
votes
2answers
29 views

Given a line, calculate a perpendicular line to make a T shape

I am working with SVG vector graphics, and I want to make a dynamic T shape by adding a perpendicular line. I have a line with two points (4,17) and (11,3). How can I figure out (x1,y1) and (x2,y2)? ...
1
vote
2answers
49 views

Graphical representation of complex numbers

How would you graphically represent the following complex functions on the Argand plane (ie. not polar coordinates): $$|2i-z|=|z+1+3i|$$ and $$Re[(3-4i)z]>0$$ I know that $|z-a|=c$ is a circle ...
0
votes
1answer
118 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 ...
1
vote
1answer
74 views

Question regarding the graphing of differential equations in grapher (mac)

I am new to grapher (mac) and I am trying to graph Lotka-Volterra equations. For those of you who you do not know, the Lotka-Volterra model is a model that describes the population of two competing ...
0
votes
1answer
24 views

Variations of a sinc function

Consider the following function \begin{align} G(\omega_t) = \frac{1}{N_t}\text{exp} \bigg( j \pi \Delta_t \omega_t (N_t-1)\bigg) \frac{\sin (\pi N_t \Delta_t \omega_t)}{\sin (\pi\Delta_t ...
3
votes
4answers
42 views

Double branch $\sqrt x$ or square function turned 90°?

I have this idea for a graph but don't know what function could describe it better. The idea is something like the "squared" function turned $90$ degrees to the right, so that possible values for $x$ ...
2
votes
1answer
60 views

Exponential function given two points

I am trying to find an exponential function satisfying two points (having base "exp"). After some search, I couldn't find something relative (the most relevant was that ...
0
votes
2answers
56 views

Is $f(x) =|x| - 3$ even, odd, or neither?

$$f(x)=|x|-3$$ Is the function above odd, even or neither? I know that a function is even if $f(x) = f(-x)$: $$f(-x) = |(-x)| - 3$$ $$f(-x) = x-3$$ Does this mean that the function is even? ...
0
votes
1answer
44 views

Solving a curve sketching task

I have some troubles with the general idea of curve sketching. I have following function that I have to sketch. $$ y = \frac{1}{2x^{2} + 12x + 6}. $$ I have the intercepts $y = 1/6$ and no ...
2
votes
1answer
44 views

Locus of line segments

If we take a line segment of infinitesimally small length, and draw another line segment of the same length from the endpoint of the first at a particular angle and repeat this infinite number of ...
0
votes
1answer
47 views

How to plot this complex polynomial?

I have tried using ti-89, ti-nspire and wolfram alpha, but none have given me a plot of this complex polynomial. I admit that I have may not inputted the formula correctly in wolfram alpha. The ...
4
votes
1answer
90 views

Distribution of Rational Numbers on $[0,1]$

If I define the function $$\Phi(n) := \sum_{k=1}^n \phi(k),$$ where $\phi$ is Euler's totient function, and I define $Q_n(x)$ to be the number of distinct rational numbers with demoninators $\leq ...
0
votes
0answers
33 views

Sketch $\frac{\sin(x)}{1 + a \cos(x)}$ for “every possible” $a$

I am trying to sketch $$f(x) = \frac{\sin(x)}{1 + a \cos(x)}$$ for every possible $a \in \mathbb{R}$, but I can not find good ranges of a which the function behaves similarly in that specific range. ...
5
votes
2answers
204 views

How to graph this sin equation?

I have the following sin equation which I am supposed to graph: sin(3x) = -1 and also find how many solutions it contains ...
0
votes
1answer
43 views

Absolute maximum on $(-\infty, \infty)$, must be local maximum?

I think yes, and I think it must true for any open interval not just $(-\infty, \infty)$ Just wanted confirmation, OR am I wrong
0
votes
1answer
53 views

Splitting up a series of numbers: How to determine when a value increase is significant?

I have 100 input values: $0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
2
votes
2answers
57 views

Plotting a function (by hand) if the second derivative is hard to find

In plotting graphics we use the first derivative to find critical points and in which intervals the function grows and becomes smaller. We can insert the critical points in the second derivative to ...
2
votes
0answers
61 views

Is there a way to graphically show that a solution is the minimum or stationary solution to a functional?

I'm looking for the functional analogue to the visual representations of function optimization you most commonly see. To illustrate, if we have some function: $$ f(x) = (x-1)^2+1 $$ We can look at ...
0
votes
0answers
22 views

From wind speed to Watt

I have this graph below which show how much effect a windspeed make i Watt. My question is. How can I convert wind speed into Watt without reading the graph.
2
votes
3answers
56 views

Question about the graph of the square root function [duplicate]

I know this question may be stupid but I've been studying for my test tomorrow and I'm so frustrated, I can't figure this one out. if we have a square root function like this: $y = \sqrt{x}$ wouldn't ...
19
votes
3answers
1k views

What do bitwise operators look like in 3d?

The hypothetical relation is $z = \mathrm{xor}\left(x,y\right)$ where xor is any bitwise operator such as AND, OR, NAND, etc. I see that these operations may be defined for integers trivially using ...
0
votes
3answers
50 views

Graphing new functions based on f(x)

I have a question: How do you graph new functions based on an original function? For example, in the following: If this graph were to represent the function $f(x)$ then: What would the graph of ...
0
votes
2answers
32 views

Where to put angle ending on right triangle, only using variables.

Let's say I have a triangle ABC, with side lengths abc. I need to draw a line from the angle connecting the base (c) and hypotenuse (b). I don't know the real angle, but I know it's sin-1. I need to ...
0
votes
2answers
55 views

X<5,Y<5 (clear)..but what if X<5, Y-X>10

I'm trying to construct geometric representation of the following: X<5, Y<5 (that is clear, it will be the area (square) with the corners on the 5s on X and Y axes. But I am clueless how to ...
0
votes
2answers
30 views

Region given by these inequalities in XY Plane

Given region as $ 0\leq x \leq y $ , $ x+y \leq 1$ . I did this as Is this correct ?
1
vote
1answer
110 views

Find cubic Bézier control points given four points

What I need is to generate an SVG file while having a series of (x,y) ready. P0(x0,y0) P1(x1,y1) P2(x2,y2) P3(x3,y3) P4(x4,y4) P5(x5,y5) ... I need to make a ...
2
votes
3answers
173 views

Equation of a tangent to the graph of a function parallel to a line

Please help me find the answer to this question. Thanks. What is the equation of a tangent to the graph of a function $y=x-\frac{1}{x^2}$ which is parallel to the line $y=3x$? Update: found the ...
0
votes
2answers
79 views

Why don't graphing tools represent holes in a graph?

Why don't graphing tools represent holes in the graph of a function? A hole at a point in a graph is point where function is not defined. Suppose there is a function $$\frac{x}{\sqrt{x+1}-1}$$ Its ...
0
votes
0answers
16 views

How do i find the undefined when doing a Tangent or Cotantgent function graph

My pre calc teacher is forcing us to use her way of doing tan/cot graphs she says for tangent it is Undefined - (-1) - 0 - 1 -Undefined How do i graph these, every tutorial or video or explanation ...
0
votes
0answers
11 views

How can I make this tangent function only appear once (or be spaced very widely)?

I only want the function to go from $x=5$ to whenever the function is 4.5 (in other words, when $y=4.5$). Is there any way to do this without specifying the domain? It has to have the shape of the ...
0
votes
4answers
101 views

How to plot $y=\frac{1}{(x-4)^{1/3}}$ with mathematical softwares?

I tried to plot the function $y=\frac{1}{(x-4)^{2/3}}$ with Maple software. The result was: It is easily can seen tht the graph is not correct. But if i try to plot the function ...
7
votes
3answers
158 views

How to visualize $f(x) = (-2)^x$

Background I teach Algebra and second year Algebra to middle school students. We are currently studying Exponential, Power, and Logarithmic functions. We study exponential functions (of the form ...
0
votes
1answer
44 views

Reachability relation set

How can i define reachable relation set of R for a given di-graph below?
1
vote
1answer
34 views

Given the graphs of $y=f(x)$ and $y=g(x)$, sketch the graph of $y=k(x)$

I think I have solved this problem correctly, but I am a little unsure of whether or not the asymptotes I found are correct. My apologies for the picture, I realize it is a little small for clear ...
0
votes
0answers
60 views

Sketch the graph of $y=(g-f)(x)$ given the graphs of $g(x)$ and $f(x)$

Sketch the graph of the combined function of $y=(g-f)(x)$ for the following functions of $f(x)$ and $g(x)$. I've attempted the problem already (see attached work), but I am unsure of whether I ...
1
vote
2answers
82 views

Use the graph of f(x) and g(x) to evaluate (f+g)(1)

Use the graphs of f(x) and g(x) to evaluate the following. I've done what I think is all the work for this problem, but I'd like to make sure I'm on the right track with this. Feedback on whether ...
2
votes
1answer
24 views

Is $\gamma(t) = (|t|,t)$ plot $y = x$?

I have this parametric curve : $\gamma(t) = (|t|,t)$ with $\gamma(t) : \mathbb{R} \to \mathbb{R}^2$ And I have to say if the plot is the line of equation $y = x$. Here's my answer: $x(t) = |t|$ ...
0
votes
1answer
53 views

What does $\mathbb{R}^2$ domain mean?

I have a parametric curve defined by : $\gamma\colon\left[ 0,+\infty \right] \to \mathbb{R}^2$ defined: $\gamma(t) = (\ln(t), 3\cdot\ln(6t))$ Now I have to say if the plot of this curve is a line of ...
1
vote
1answer
25 views

Double solutions and plotting transcendental equations

I have the following transcendental equation: $y^2 - \log(y)^2 = 4\cdot\log(x) + 4/x + C$ and I aim to plot the equation in the positive, real quadrant, with $x>0$ (actually in the $0 < x ...
3
votes
2answers
33 views

Common formula for two sets of linear data

I've got two sets of data, both of which create a roughly linear line. I developed each set with a value of K, and I collected the data. ...
0
votes
1answer
80 views

How to define a meshgrid (x,y) between the intersection of two oblique lines.

How can I create a meshgrid to draw a 3d surface in a domain (zone 1) defined by the intersection of two oblique lines in Matlab (see attached figure)1. The variables 0
1
vote
1answer
30 views

What is the relationship between (x | Z[a]), (y | Z[b]), and (((x^2 + y^2)^(1 / 2)) | Z[a])?

In other words, so to speak, how would I create a formula that would solve $$(\sqrt{(x | Z[a])^2 + (y | Z[b])^2}) | Z[a]$$ for either $x$ or $y$, given the other? In English, what I want is a ...
0
votes
0answers
28 views

Computationally Plotting an Equation

I have the following equation: $y^2 - log(y)^2 = 4log(x) + \frac{4}{x} + c$ and I want to plot this, real terms only, in the eqi-axis interval 0 to 5, for different values of c. Is there a general ...