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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1answer
13 views

Comparing two quantities

So I have two agents that have strategies, each of which are specified via one parameter. For agent1 its p and agent2 its q. Each of these agents produce a payoff p1 and p2, which depend on the ...
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1answer
42 views

Equation of a nasty graph

Let $f(x)$ be a real valued diffrentiable function in its domain. Let $PQ$ be a line which is inclined at an angle of $k$ with the tangent of the graph $f(x)$ at $x_0$. The rate of change of the ...
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0answers
20 views

Locus of a moving point

Let $f(x),g(x)$ be Differentiable functions in their respective domains. Let $m(x)$ be a function whose perpendicular distance from $f(x)$ is always $g(x)$.Then, whats the equation of $m(x)$ in terms ...
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1answer
18 views

Question about graph of sin function

There is question I had on my mind for 3-4 years. If you have a function:- f(x) = (sin(x))^n If you increase the value of n slowly the Value of the function at all points, except where it is one, will ...
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1answer
29 views

how to define a function which returns a multiset

Given graph $G(V,E)$, how can I formally define function $f\prime$ which takes a node $v \in V$ and returns a multiset?
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4answers
60 views

Manipulating $\sin^2(x)$ to fit a specific shape.

I'm trying to draw a figure using Latex/Tikz, and the best way for me to do this is to define a function mathematically and draw it. The function I have so far that best fits the picture is ...
2
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1answer
100 views

Sketch the graph of the polynomial function: $S(x) = \frac{1}{2} (x-1)^3 +4.$

The question is: Sketch the graph of the the function by transforming the graph of an appropriate function of the form $y = x^n$. Indicate all x and y intercepts on the graph. I am really trying ...
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2answers
66 views

how do i write an equation in standard form by completing the square for $x^2 -9y^2-4x-18y=14$

I'm really having trouble with completeing squares i can solve for circles and ellipses but i can't seem to understand hyperbolas or parabolas, help would be deeply appreciated.
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1answer
56 views

The continuity of a function at a point x0

Choose correct options , more than one may be correct . (1) $$ \textrm{The function defined by } \begin{cases} f(x)=\cos\left(\dfrac{1}{x}\right) & x\neq 0\\ f(0)=0 & \\ \end{cases} ...
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2answers
39 views

How to sketch a function such as r(t) = (t^2)i + (t^3)j

How can I sketch this function by hand? I am not even sure what I should be expecting,.
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2answers
23 views

How do I find the inverse of this exponential function?

$x=-3(3^{-x})+9$ I know the steps up until a certain point. $x=-3(3^{-y})+9$ $x-9=-3(3^{-y})$ $\frac{(x-9)}{-3} = 3^y$ $ln (\frac{x-9}{-3}) = -y * ln 3$ Not sure what to do from here. I know I ...
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0answers
27 views

Function plotting

I have a function $f(x)=\binom{N}{K} \ln(1-F(x)), x \geq 0$, where $F(x)$ is a cumulative distribution function. Then, $\ln(1-F(x))$ is negative for various values of $x$ as $F(x) \geq 0$. Also, ...
2
votes
1answer
75 views

How to draw stick trefoil knot

http://commons.wikimedia.org/wiki/File:Stick_number_trefoil.png I am interested in plotting the stick trefoil knot. I don't know where to start. I am looking for equations or co-ordinates of ...
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0answers
28 views

Semi-implifit finite difference solution of a 2-d shallow water equation [closed]

I need help with writing the discrete form of the PDEs below. V= 1/n R^(2/3) √(S ) Q= 1/n AR^(2/3) √(S ) ...
0
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1answer
43 views

Graphing Elliptic Cylinders

Given a question to graph: x^2 + 4y^2 = 16 I would assume its a 2D Plot. My textbook assumes otherwise and treats it as a trace. This is how the equation looks like when plotted. x^2 + ...
1
vote
1answer
91 views

What does “versus” mean in the context of a graph?

Say you have a graph of say $y=mx+b$, with $x$ on the horizontal axis and $y$ on the vertical axis. You need to give the graph a title, would you say: This is a graph of "$y$ versus $x$?" or This ...
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0answers
80 views

Physical shapes you can't simulate using mathematical functions

This question borders philosophy, so I would be happy to move it somewhere else if this forum is inappropriate. While doing some 3D function plotting, it occurred to me that I can plot any shape ...
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0answers
15 views

Weighting values using curves

I am in the field of computer programming but I think my question is maths based. I have tried several google searches on this matter but nothing has come up with what I am looking for, probably ...
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1answer
27 views

Seeing complex roots on the graph of a polynomial

When I sketch the graph for a general second degree polynomial $y = ax^2 + bx + c$ it is easy to "see" its roots by looking at the points where $y=0$. This is true also for any $n$-degree polynomial. ...
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0answers
26 views

A sequence made from a function under a certain rule.

I have been working on this question . My attemt at this question so far: $(a)$ From the diagrams I figured out the pattern to be as follows $x_{0},f(x_{0}),f(f(x_{0})),....$ wherin $x_{0}=x_{0}$ ...
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0answers
22 views

Detect Regions Described By Lines in Rectangular Coordinates

Need some help from the superior math minds here. This problem is part of a software project. Essentially, I have a Cartesian grid. The user can create lines by plotting points (every 2 points ...
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2answers
117 views

Curve Fitting a Cyclical Pattern of Data

I'm analyzing phonological characteristics of the 22 letters used in the Hebrew alphabet, and assigned each letter an enumeration to see if they are organized based on place of articulation: ...
2
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2answers
41 views

How to intuitivly think of graphing a function in $\Bbb{R}^3$

How to intuitivly think of graphing a function in $\mathbb R^3$? Let there be $f: \mathbb R \rightarrow \mathbb R^3$ $$f(t)=\begin{bmatrix} \cos(t) \\ \sin(t) \\ t \\ ...
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1answer
26 views

Sketching Logs with Quadratic Terms

$\log(x^2+1) = y$ asymptote at $x^2+1 > 0$ and so there is no asymptote $x$ and $y$ intercept at $(0,0)$ How do you know that the function goes both directions, and has a dip in the middle? ...
2
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2answers
68 views

Maximum of linear combination

I have an range like this: $$x + 2y \leq 40$$ $$4x + 3y \leq 120$$ $$x \geq 0, y \geq 0 $$ I made an plot using wolfram alpha. Now I have a linear combination $$4x+5y$$ and I want to find the maximum ...
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1answer
267 views

How to draw a circular 3D plot in matlab

I want to plot this function in matlab : sin(4*x)*cos(4*y) on a disk This is how i proceeded : syms x y; f=@(x,y) sin(4*x)*cos(4*y); ezmesh(f,'circ') This method works with f=@(x,y) ...
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1answer
55 views

find this graph thing is very hard [closed]

Graph the solutions of the following equations. For each graph, determine if the graph represents a function of x. Explain your answer. (a)$\frac{y}{|y|}=\frac{x}{|x|}$ (b)$⌊x⌋⌊y⌋ = 1$ need some ...
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2answers
80 views

what does the e mean in $2.392537302040576$e$+16$?

Please help me, I need to understand how to do this math skill. Thank you. I assure you that it is important.
1
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1answer
36 views

What is the area of the closed curve?

The graph of the polar graph $r=\dfrac{4}{2-\cos\theta}$ forms a closed curve. Find the area of the region inside the curve.
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0answers
34 views

How does sin & cos affect audio waves

Given a function such as "cos (x) + 4 sin (3x) + 5 cos (3x)" when graphing it to produce a wave, are there any set rules to how you can adjust the function to produce a higher frequency, or increased ...
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1answer
324 views

Minimum number of nodes in balanced binary search tree

I'd like to know if anyone could help me verify a recursive formula for the minimum possible number of nodes a binary search tree would require to be balanced. So far, I know that the recursive ...
0
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1answer
59 views

How to graph a sin & cos wave

I've got a time column of numbers(x) from 0 - 20 in 0.1 intervals and i've got a sin(x) and cos(x) column. I've got to produce some kind of wave like graph from it. Although I'm not sure which numbers ...
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0answers
11 views

filtering/detecting static regions in a given graph

I have set of points $ (x,y) $ , $x$ represent time units and $y$ represents sampled amplitude value at given frequency. $0 \leq y \leq 100$. My goal is to detect static parts of the plotted graph - ...
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1answer
484 views

Graphing: Given two points on a graph, find the logarithmic function that passes through both.

Is there such a method to do this? I would like to come up with a logarithmic function (a graph that looks like a square root graph) that passes through two given points. Haven't had any luck in ...
1
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1answer
54 views

How does one create a step function?

Is there a general form for the equation of a step function? For example, if I wanted to find the equation of this particular step function: How would I go about doing so? At first I was thinking of ...
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0answers
22 views

Online tools for plotting and deriving formulas from set of data?

I have a matrix of 20x3 decimal values. I would like to have them in a graph, with one plot for each of the three y values. I would also like approximated formulas for each of the three. Are there any ...
1
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1answer
41 views

How to detect an asymptote

So I'm trying to write a program to draw graphs that are entered by the user. The way I draw them is by finding y values at a number of x values across the graph and then connecting them by lines. ...
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1answer
23 views

Help determining if an equation is a function of x

Graph: ${y\over|y|}={x\over|x|}$ ${\lfloor x \rfloor \lfloor y \rfloor = 1}$ Determine if each graph represents a function of x and explain your answer. I've never seen anything like the before ...
6
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1answer
206 views

Very interesting graph!

I found a VERY interesting graph on http://www.xamuel.com/graphs-of-implicit-equations/. It looked very, very cool, but the equation of the graph is so simple! Here is the image of the graph: My ...
2
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2answers
81 views

Curve parametrization

When plotting following implicit function $x^4 + y^4 = 2xy$, what is the best way to parametrize it? I tried $y=xt$, but then I get $x=\sqrt{2t\over {1+t^4}}$ and $y=\sqrt{2t^3\over {1+t^4}}$, which ...
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1answer
69 views

Steps to Graph Exponential Equations & Absolute Value

how to sketch: $-e^{|-x-1|} + 2$ Can someone clarify: $|f(x)|:$ we draw $f(x)$ and then reflect the ($-y$ parts) in the $x$-axis $f|(x)|:$ we draw $f(x)$ and then reflect the ($-x$ parts) in the ...
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2answers
247 views

Graphing an ellipse on TI-nspire CX CAS

How do I graph an ellipse on a TI-nspire CX CAS? I know how to graph an ellipse with the equation $$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2 }=1$$ but I don't know how to put coefficients in the ...
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2answers
28 views

Tangents and differentiability

Was just going through my single variable calculus notes recently when I came across this interesting article on the relation between differentiabilty of a function. I missed some of the points my ...
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0answers
115 views

Transfer function from Bode-plot

Could anyone lead me through the steps of getting the transfer function from this Bode-diagram? http://i.imgur.com/1kWvheO.png I've been reading up on this material but can't quite get a hang of the ...
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3answers
519 views

“Linearize” an exponential-looking graph with log function

This may be a beginner question, but I can't quite wrap my head around logs... I have a set of data (from an experiment) which gives me an exponential-looking graph (Fig 1). I'd like to "linearize" ...
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2answers
34 views

Logical bulk pricing rate decrease

Let's say I have items that I can sell up to 40 units at a time. If the sale is the maximum of 40, the price is $600 which comes comes out to $15 per item. I would ...
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0answers
28 views

How to plot the graph of the function $Re(η(s))$

The Dirichlet $\eta$ function (the alternating zeta function) is given by $$η(s)=\sum_{n=1}^{∞}(-1)^{n-1}/n^s$$ for $s=x+iy$. I want to plot the graph of the function $Re(η(s))$ (in a specific range ...
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2answers
47 views

How does this equation create this chart?

I am trying to understand this formula from the chart above. For example, from the middle graph, How does h(x) = 0.5x get the coordinates ...
0
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2answers
329 views

How to find (and plot) a probability distribution function?

I'm working on my biometrics course, and I have to plot a pdf (I think it means probability density / distribution function). Here is a sample pdf graph : Introduction to Biometrics page 5 , figure ...
2
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1answer
38 views

How can I write a formula for this linear segments graph?

I have the following data: 60 items = $1 3,600 items = $20 86,400 items = $260 604,800 items = $1,000 Which I have used to make a line graph like so: Is there a way I can ...