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
27 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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0answers
39 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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votes
1answer
16 views

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

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
votes
1answer
56 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.
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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 ...
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1answer
15 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 ...
5
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0answers
27 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 ...
0
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1answer
25 views

Struggling to plot this in maple. Pease Help :) [on hold]

I am fairly new to maple and am struggling with plotting the line $$2c+c^2\ln(\dfrac{1-c}{1+c}) $$ with a system of points. I know We use plot(f(x)) to plot a function, and pointoplot([a,b]) to plot ...
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1answer
26 views

Sketching a sawtooth wave [on hold]

Consider a periodic sawtooth wave described by the equations: $$f(x) = \frac{x}{2\pi}, \ 0 < x < 2\pi $$ $$f(x + 2\pi) = f(x), \ x \in \mathbb R $$ a) Make an annotated sketch of this ...
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
18 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
votes
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
votes
3answers
48 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 ...
-1
votes
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
22 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 ...
-1
votes
2answers
36 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?
0
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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 ...
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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
33 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
votes
0answers
37 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
13 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
377 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 ...
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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 ...
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2answers
53 views

Is this graph concave up on this interval?

The graph above is concave up on the intervals: $[-5,0]$ and $[0,5]$. My question is: Is the graph concave up on this interval $[-5,5]$ ? In other words: Since $x=0$ is a corner, does that effect ...
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0answers
14 views

How to convert coordinates in a left-handed graph to a right-handed graph

I have the following coordinates which describe points on a left-handed graph and I need to convert the graph to be right-handed instead: $(0,0), (21,56), (38,0), (51, 35), (-5, 38)$ Is it as ...
1
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2answers
24 views

Effects of adding multiples of Cos and Sin

I currently have increments of 0.1 from 1 to 20 for x values. I have produced graphs for sin and cos but I am now looking into the effects of multiplying them with numbers in front. Would anyone be ...
3
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0answers
104 views

Visualising surface integrals

For a current problem I am working on, I have run into angular surface integrals, i.e. the differential solid angle $\text{d}\Omega$. Specifically the surface integrals are defined by ...
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1answer
17 views

Line through integral points

(From I. M. Gelfand) If it is known that the straight line y = kx + b passes through two integral points, are there any other integral point on this straight line? I tried out contradiction. Suppose ...
1
vote
1answer
40 views

The graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ “are tangent to each other” at $(0,0)$

Why can we say that the graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ "are tangent to each other" at $(0,0)$ ? I have done the following: The tangent plane at the graph of $f(x,y)=x^2+y^2$ ...
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0answers
28 views

Why the origin of this complex is moving away from the origin (0,0)?

Why does the origin of the complex line z is moving away from the origin? $$Let\;z=x+i\cdot y \\\;z-1\;=\;\;(x-1)+i\cdot y\;$$ Following that I would say that the coordinates of the origin of z are ...
3
votes
3answers
93 views

Can the third derivative tell me anything about the original function?

The first derivative can tell me about the intervals of increase/decrease for $f(x)$. The second derivative can tell me about the concavity of $f(x)$. So can the third derivatives, and any ...
0
votes
1answer
27 views

Quadratic graph / standard form

If I draw a graph of the quadratic $x^2-9=0$, I have a parabola with roots $x=3$ and $x=-3$ and a vertex of $(0,-9)$ with the parabola opening upwards as $a$ is positive in the standard quadratic ...
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0answers
12 views

Graphing With Conics.

I have a project in math where I must create a picture using conics, with my graphing calculator. However, the equations I have found to form a picture are not in $y=\ldots$ form. How do you put the ...
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1answer
27 views

What is the name of the most locally convex / concave point of a $f(x)$ function?

I was looking for the name given to the more locally convex / concave points of a given function $f(x)$ for instance, the ones I have marked in the multiplicative inverse function below. In the case ...
4
votes
3answers
256 views

Transforming a function by a sequence geometric operations on its graph.

I am solving the following problem: Let $f(x) =\sqrt{x}$. Find a formula for a function $g$ whose graph is obtained from $f$ from the given sequence of transformations: shift right $3$ ...
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0answers
9 views

Alternative method for y-vertex calculation

So, I've been wondering the following: If you can determine the x coordinate of the vertex of a quadratic function by averaging the x coordinates of both roots, would it be possible to determine the ...
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0answers
20 views

Derive Equation from the set of values

I have a set of values 1=02, 2=10, 3=30, 4=68 5=? Looking at the above numbers, I have done trial and error options and foundt the formula X^3 + X to get the value for 5 =130. Is there any ...
0
votes
1answer
29 views

Finding intervals using local min and max (in interval notation form)

I am having some trouble with the following question: Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum ...
4
votes
5answers
107 views

Graph of the function $x^y = y^x$, and $e$ (Euler's number).

Earlier, I was using the Desmos Graphing Calculator, and I wanted to remind myself of what the graph of the function $x^y = y^x$ looked like. If you have never seen what it looks like before, it is ...
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0answers
38 views

Can trigonometric equations be graphed?

I was solving various trigonometric equations. I was confused that how are they solved easily by using methods that are useful to solve algebraic equations. Do the trigonometric functions in ...
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0answers
15 views

Export 3d plot in Maple

I have drawn a 3d plot of a sphere in maple, but when I try to export this one in an .eps file, only the coordinate system is shown, but not the colourful plot. The export works if I use jpg and ...
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0answers
15 views

How should one depict a sign graph/chart with only 1 critical point and one interval?

For instance, if my critical point is $x = 10$ but the domain of the function is "all $x \geq 10$." Normally you'd evaluate at all intervals like this: <--------|---------> ...
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1answer
36 views

How to draw the graph of $x^6 = y^3$ and $3y = (log x)^2$?

For example, if the equation is $x^4 = y^2$ then I can separate this to get the two equations $y = x^2$ and $y = - x^2$ , hence I can plot the two graphs. But how do I simplify the given equation? I ...
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0answers
9 views

Clarification on a rasterizing curve drawing algorithm

The algorithm in question is described in this paper. The author describes the general approach to plotting a curve (page 10): ...
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2answers
21 views

Can anyone help me understand the graph of ellipse and Line

I have an ellipse with semiaxes a and b Let L denote a line passing through the center of the ellipse and making an angle k with the axis of length 2a. What does that mean "angle k with the axis of ...
0
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1answer
21 views

how to determine the lowest number in this curve

can someone help me on how to find the lowest value which the function will get ? $y=\frac{1}{2}(e^x-e^{-x})+\frac{1}{2}n(e^x+e^{-x})$ thought of using t as $e^x$..but couldn't get an answer.
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0answers
21 views

Negative option value

I have an exercise where I need to replicate the following graph: with my own parameters. To do this I use: $\begin{align*} \text{Call option value} =SN(d_1)-Ee^{-r(T-t)}N(d_2) \end{align*}$ ...