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
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 ...
0
votes
1answer
69 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...?
1
vote
1answer
42 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
2
votes
2answers
112 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 ...
1
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3answers
59 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 ...
0
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1answer
42 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 ...
0
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1answer
30 views

Correct way to describe this geometrical transformation

I am trying to describe to geometrical transformation that maps the graph of y = sinx onto the graph y = 2sinx. I know what the two separate graphs look like, and I could draw them, the only ...
0
votes
2answers
238 views

Number of solutions of arithmetic funtion's equation.

Say, an equation is given below \begin{equation} 2\pi(x) - \pi(2x)=\omega(x) \end{equation} where $x$ is a positive integer, $\pi(x)$ is the prime-counting function, and $\omega(x)$ is the number of ...
0
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0answers
22 views

Graph analysis and phenomenon modeled by the curve $S(t)= 1/(1+e^{-t})$

So the question is: The graph looks like: So where I stand with this question is that I am struggling to find something that it models. Once I find some phenomenon that it looks similar to, I ...
3
votes
2answers
31 views

Graphing a plane

For $x\geq 0, y\leq 0, z\geq 0$ I understand how to graph each trace, and that the traces intercept each other on the coordinate axis but I do not understand why the plane is represented by the ...
0
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0answers
30 views

How to turn this into a straight line

Right now, I am trying to turn my graph (which looks like a exponential graph) into a straight line graph, which starts at the origin $(0,0)$. How would I do this? My values are given in the ...
0
votes
1answer
22 views

How do I determine the target coordinates based on an angle?

I know my object is at a set of coordinates for example (150,480), and I need to move it x number of units at a y degree angle. Z What is the formula to calculate this? I slacked in math after ...
0
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1answer
22 views

Rational Functions

Part 1: You are planning a school field trip that costs $120$ dollars to rent the bus. A. How much will it cost per student if $10$ students go? $12$? $15$? B. Write an equation to represent the ...
0
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0answers
26 views

Parabolic Graphs

How to draw these parabolic curves. $y^2 - 2y -x -1 = 0$ $x^2 - 6x - 2y + 5 = 0$ As its easy to draw parabola whose vertex is at origin. But so much confusion in these graph. Help me out.
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votes
2answers
45 views

Finding the formula for a parabola and its antiderivative graph.

For part a) i have : $f'(x)= 3x^2-18x+15$ Can someone provide a straightforward, simple explanation for part b)? Best if no hints are given just an answer with the explanation please.
2
votes
2answers
83 views

Length of arc paradox

Premise 1: Line is composed of points. Premise 2: Each point is associated with specific co-ordinates (x,y). Premise 3: Lines of equal length have equal number of points. Lines of greater length ...
1
vote
1answer
46 views

Calculating values for cubic Bezier curve

I'm trying to use cubic bezier curves for some non-linear animations in my iOS app. Let's say I'm animating position of some element on the screen. I'm using this curve from cubic-bezier.com for ...
0
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0answers
25 views

graphical flower and rule of thumb from central limit theory question

Does the flower graph have a name? I plotted the shape which is the set A={(x,y/x)} for all whole numbers of x>0 with ...
0
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0answers
28 views

Moving Logarithmic function equation plotted on log log paper up or down on the y axis

I'm hitting a stump here. I have a logarithmic function plotted on log log paper so it's a straight line. So let's say I have this entire line plotted out on the log log paper....how would I simply ...
0
votes
1answer
50 views

How to draw the graph of $y=(2x^2+13x+9)/(6x+3)$

We haven't learnt how to design the graphic when the denominator has x, and it cannot be simplified. Can you just tell me the steps or lead me to a web address?
-1
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2answers
52 views

Does there exists values of x for $f(x) = x^{2} e^{\frac{1}{(1-x^2)}}$ when $f(x)=1$ in $(-1,1)$

Given $ \; \large{f(x)=x^{2} e^{\frac{1}{(1-x^2)}}} \; \; $ has solutions for $ f(x)=1 $ in $(-1,1)$. I think there are no solutions, but I am not sure how to prove it. Can anyone please help? Thanks ...
0
votes
3answers
51 views

How do I come up with a continuous function between two functions?

Say $y = 0$ when $x \leq 0$, and $y = 1$ when $x \geq 1$. I want to create a function between these two that still makes everything continuous (continuous at $x = 0$ and $x = 1$) and is monotonically ...
0
votes
1answer
28 views

Find longer side of a rectangle with respect to another rectangle

So I have two rectangles: Rectangle R1 with width r1w and height r1h Rectangle R2 with width r2w and height r2h I can find the slope/aspect ratio of the two ...
1
vote
4answers
279 views

Help finding turning points to plot quartic and cubic functions

My teacher assigned us some graphing homework. I know how to graph all of them manually all except these two $f_1(x)=x^4-x^3-4x^2$ $f_2(x)=\frac{1}{2}x^3+2x^2-8x-2$ When i asked him how he said it ...
0
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0answers
18 views

How to plot curve instead of lines in the below figure?I am using Log scale in x axis.

How to plot curve instead of lines in the below figure?I am using Log scale in x axis.
0
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0answers
15 views

How to calculate an angled increment on a graph

I'm trying to figure out how to calculate the values needed to make an angle. Like if I have a object at {1,1} and it needs to travel at a 45° to get to {5,5} I would have it increment up the spaces ...
2
votes
0answers
32 views

Graphing the derivative from a graphed function

For the graphs of $f(x)$ make a sketch of the graph $f'(x)$ Here are the sketches I have so far. The graphs on the top row are the original functions. Did I graph these correctly?
0
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2answers
206 views

Formula to best fit a rectangle inside another by scaling

I am very week in Math. I am a web programmer, and usually my work does not involve too much math - its more of putting records into database, pulling out reports, making those fancy web pages etc ...
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4answers
58 views

Basic question about $y=mx$

The graph of equation $y=mx$ is a straight line... a) Parallel to the $x$-axis b) Parallel to the $y$-axis c) Passing through the origin d) That coincides with the $x$-axis This was a question in ...
1
vote
2answers
87 views

How to plot $\frac{2x-4}{1+x^2}$

Can someone suggest me how to plot this function (without any software)? $$\frac{2x-4}{1+x^2}$$ I have found out such points as: $(0,-4)$ and $(2,0)$ I know that $y = 0$ is horizontal asymptote ...
0
votes
2answers
32 views

Understanding the translation of a graph (horizontally)

I have been having trouble understanding the translation of a graph. I understand the 'rule in the sense that the '$+$' shifts to the left and the '$-$' to the right when dealing with something like ...
0
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0answers
24 views

Transformation/operation to collapse a series of similar lines into a set of constants?

I have a dataset that can be represented in a matrix form as: $$ Y = \begin{bmatrix} y_{11} & y_{12} & y_{13} & \cdots & y_{1j} \\ y_{21} & y_{22} & y_{23} & \cdots & ...
1
vote
2answers
49 views

Constructing a parabola from two coordinate values and a peak height.

I am trying to create a parabola function that mimics projectile trajectory. It will input the following: 2 xy coordinates (the starting projectile position and the landing projectile position) ...
0
votes
1answer
18 views

find the points on curve that are almost equal

How do I find the points pointed by the arrow in the graph. I.e. the points where the slope of curve is almost $0$.
1
vote
4answers
123 views

Best program for 3D plotting

I've hit a roadblock with pgfplots where it has difficulty plotting multiple functions at the same time in 3D. As it states in the manual on page 114, "it cannot combine different \addplot commands, ...
0
votes
1answer
23 views

Find a function from graph

I have a greater "trouble". I wanna learn more about "graphs". On this webpage I found some nice graphs in heart shape. And they where written as functions. Another graph I found was "the batman ...
0
votes
2answers
57 views

What power of $3$ is $4$?

I am trying to find the point where $y=5$ intersects the curve $$y=1+3^x$$ My working so far: $$5=1+3^x$$ $$4=3^x$$ How do I work out this last step accurately?
0
votes
1answer
30 views

Strange log scale on a plot. How do I read this?

Doing an assignment with a strange log-log data plot. You'll notice that there at 14 segments per cycle, and they are not spaced as usual. Note the last 4 segments break the pattern of reduced ...
1
vote
1answer
38 views

What are the lines of a surface plot called?

I am wondering what are the names of the specific names of the lines used when a program such as Matlab or Mathematica plots a surface in 3D. They are lines which are the intersection between planes ...
1
vote
3answers
67 views

Different Types of Waves

I am making a basic 2D rigid body simulator as a hobby. It involves springs. Naturally, I need to render them. Rigid body simulators, such as Algodoo, render them simply like this Another (more ...
1
vote
1answer
14 views

Study of the function $\log(1+\sin(x)+\lvert\sin(x)\rvert)$

I have to study this function. To remove the modulus I split the original function in \begin{cases} \log(1+\sin(x)+\sin(x)), & \text{if $0<x<\pi$} \\ \log(1+\sin(x)-\sin(x)), & ...
0
votes
1answer
46 views

Solving an inequality graphically

$$\frac{2x - 5}6 < \frac{x^2 - 1}4 - \frac{x(x+1)}3$$ Should I solve it by turning it firstly into an equation of the form $ax^2+bx+c>0$ and then draw the graph or draw the graph of ...
0
votes
2answers
67 views

Please guide me to draw this : graph of $x \geq 5$ and $y \geq 5$

how can I draw the graph for this the graph of $x \geq 5$ and $y \geq5$ is? please guide me to draw it thanks in advance
3
votes
2answers
56 views

Average rate of change of $\ln(x)$, decimal slope?

First of all, I'm new to calculus, so please excuse me if my question sounds silly. I have a graph of the function $f(x)= \ln(x)$, and I want to compute the average rate of change of f on the ...
23
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1answer
666 views

Moriarty's calculator: some bizarre and deceptive graphical anomalies

Background: This is a problem I first came across a few years ago in a calculus textbook (a James Stewart one), where it addressed some of the pitfalls of using graphing calculators. The original ...
0
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3answers
40 views

how come for any given f(x) a y could have multiple values of x, while x has only a single y value [duplicate]

I guess i might be answering my own question here, but is it because of how we chose to represent our functions? That is, for the lack of better term, strech it along the x axis? Has it it been f(y) ...
1
vote
2answers
557 views

Sketch a graph that satisfies the following conditions

Sketch the graph of an example of a function f(x) that satisfies all of the following conditions: Here is what I have so far: Am I on the right track? I think the graph satisfies all of the ...
0
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1answer
31 views

An ant is walking up a hill. at what x does he see the blade of grass.

've been working on this problem with Mathematica and by hand-help with either would be fantastic. The blade of grass is given by the line segment from (32,1/5) and (32,8). The 2D hill is given by ...
0
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0answers
22 views

How can I obtain the the admissible values of each dimension with respect to set of constraints?

when having a set of constants including linear and nonlinear equality and inequality. How can I obtain the the admissible values of each dimension (so-called solution space) . For example, assume ...
0
votes
1answer
69 views

Visualizing a volume with MATLAB

I have a rational function $\phi: [0,1]^3 \to \mathbb R^3$ (A NURBS, to be precise) and I want to visualize the image of $\partial [0,1]^3$ using a surface plot (...