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
32 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
49 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
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?
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0answers
12 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
43 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
47 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 ...
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0answers
51 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 ...
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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
409 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
14 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
92 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
25 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 ...
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2answers
33 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
124 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
30 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 ...
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1answer
44 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
30 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
168 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
34 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
33 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
268 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
23 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
48 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
101 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 ...
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5answers
128 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
46 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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1answer
40 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
12 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
24 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
22 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
43 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: $\begin{align*} \text{Call option value} =SN(d_1)-Ee^{-r(T-t)}N(d_2) \end{align*}$ ...
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5answers
213 views

Graphing $x^{3 / 2} + y^{3/2} =1$

My brother asked me what I thought was a fairly straightforward question, graph the function below over the real numbers: $$ x^{3/2} + y^{3/2} = 1.$$ Now of course, we can't have any negative ...
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0answers
26 views

Max Flow Min Cut with a Twist Proof

Let G=(V,E) be an undirected graph with positive integer edge costs. Let the set of paths s-t paths be denoted by P. the set of s-t cuts is denoted by C. Prove by construction that: Find the minimum ...
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1answer
22 views

When making a line graph, can you start at 4000 on the y axis and then continue up in 500's?

When making a line graph, can you start at 4000 on the y axis and then continue up in in the increments of 500? E.g., 4000 at the bottom then, goes up to 4500 then 5000 etc.
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0answers
13 views

Axis scale where intervals get further apart

I'm trying to automate a water supply pressure and flow rate graph. Traditionally these graphs use some weird axis scale where the intervals become further apart as the numbers get larger. Sort of ...
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1answer
24 views

Plot my own function 'in two variables'

I have matlab function in two variables say $function_{something}(t)$ where $t$ is of size $2 \times k$, this is to allow to evaluate $k$ times in two values. So my output is then a $k \times 1$ ...
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1answer
216 views

How can you plot straight lines in Matlab using only values on x axis and the gradient of each line?

I'm trying to plot characteristics for the Burgers Equations. But I have to plot them only using the inbuilt function plot. It seems like a fairly straight forward problem but I still cant solve it
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2answers
20 views

Build the graph of a function with absolute value.

The function is: And my idea of graphic (i did it using two graphs and deleting some parts) Is it correct?
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1answer
49 views

Math quiz ambiguity [duplicate]

This is a picture of my math quiz in which I got a question wrong. I feel I should not lose points as the question is to ambiguous. I assumed that if one point lied above x-axis then that would ...
0
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1answer
36 views

Graph the function $f(x) = \frac{9}{14}x^\frac{1}{3}(x^2 - 7)$ by finding all critical points and inflection points.

I want to graph the function $f(x) = \frac{9}{14}x^\frac{1}{3}(x^2 - 7)$. To start, I know I need the derivative, $f'(x)$, because I want to find the critical points. I found that $$f'(x) = ...
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0answers
40 views

Plot the characteristics for Burgers equation

I'm trying to plot the characteristics for the following problem. So far I have managed to find all the gradients for the lines from each value of x0. But I'm not sure how to plot it. It seems like ...
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2answers
58 views

Given a collection of consecutive points, can I find a graph equation that goes through all of them?

As said in the title I have a collection consecutive of points on R²(x0, x1, x2, etc.), and I am trying to find one continuous function, that defines a graph that passes through all of them. I've ...
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4answers
111 views

How many roots does this exponential equation have?

I have the following course assignment: Calculate the number of roots of the following equation: $ e^x = 6 \cdot \ln(x^2 + 1) $ What I have done so far: $ f(x) = e^x - 6 \cdot \ln(x^2 + 1) $ I will ...
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0answers
101 views

Graphs of interesting integrals of the form: $\int \sin^a(x^a)\cos^a(x^a)$

Here are a few graphs of the form:- $$\int \sin^a(x^a)\cos^a(x^a)dx$$ Where $a$ is an even, positive integer. $a = 2$ $a = 4$ $a = 6$ Now, a few graphs of the form:- $$\int ...
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1answer
16 views

Should the following 2 graphs differ?

So , I had this question that will the following 2 graphs differ from each other, as $\csc x$ and $\sec x$ can become not-defined at values like $x=0$ or $x=90$. $$y=\lvert\cos x\rvert+\lvert\sin ...
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1answer
73 views

Can this be a periodic function

$$F(x) = \sqrt{\sin x + \cos x}$$ I graphed this function and it seemed to be periodic but my textbook says that it's not. Is any other rule it's breaking...?
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1answer
43 views

Name of this type of plot? Does anyone know how to produce it

Does this type of polar plot have a name? Does anyone know how to produce it in octave 3.8.1 which is compatible with matlab? Link to site
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2answers
114 views

Level sets for the function $f$

Describe the graph of the function $$f: \mathbb{R}^2 \to \mathbb{R}, (x, y) \to \max (|x|, |y|)$$ computing some level sets and some intersections. I have done the following: The level curves are ...
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3answers
65 views

Describe the graph of the function: Level Sets, Intersections

Describe the graph of the function $$f: \mathbb{R}^2 \rightarrow \mathbb{R}, (x, y) \rightarrow |y|$$ computing some level sets and some intersections. I have done the following: The level curves ...
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1answer
48 views

Level set for the function

Draw or describe the level surface and an intersection of the graph for the function $$f: \mathbb{R}^3 \rightarrow \mathbb{R}, (x, y, z) \rightarrow x^2+y^2$$ I have done the following: The level ...