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
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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1answer
12 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
52 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
39 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
30 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
29 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
34 views

What is the function that generates this graph?

I have the following coordinates: ...
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1answer
48 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
27 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
42 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
30 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
28 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
37 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
93 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
61 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
78 views

Is there any good software to plot trigonometry graph? [duplicate]

I want to plot trigonometry graph like sine function, cosine function, etc. (degrees, not radians) but I don't find anyway to make it in my computer. I like graph produced by WolframAlpha, but it ...
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2answers
36 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
26 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
56 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
54 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
35 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
40 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
28 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
30 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
51 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
37 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 ...
1
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1answer
28 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
46 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.
0
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1answer
37 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
9 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
38 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
40 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
45 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
18 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 ...
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4answers
399 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 ...
1
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2answers
64 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
20 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
31 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
117 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
22 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
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1answer
43 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 ...
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3answers
125 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 ...
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1answer
32 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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1answer
32 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 ...
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3answers
265 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
20 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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1answer
39 views

Derive Equation from the set of values

I have a set of values $$\begin{array}{|c|c|} \hline\text{$X$} & \text{$Y$} \\ \hline 1 & 2 \\ \hline 2 & 10 \\ \hline 3 & 30 \\ \hline 4 & 68 \\ \hline \end{array}$$ ...
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1answer
72 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 ...