Tagged Questions

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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2
votes
1answer
18 views

For $f(x) = ax^2 + bx +c$, why is it written $a(x-h)^2 + k$

I'm going to have to teach how to graph quadratic equations. Since we've already done a lot of work with the Quadratic Formula, the students are more or less familiar with the standard notation of a ...
0
votes
2answers
32 views

help me with these equations

Consider the graph of the function $f(x)=-x^2+5$ (a) Find the equation of the secant line joining the points (-1, 4) and (2, 1). (b) Use the Mean Value Theorem to determine a point c in the ...
0
votes
1answer
14 views

how can you plot this?

$y= \frac{x^3}{|x|}$ where x is not equal to 0. i tried plotting in wolfram alpha and it shows a $x^3$ graph and i dont understand where the $x$ in the bottom goes? shouldn't it be $x^2$? anyways any ...
0
votes
0answers
9 views

Derivative of Trigonometric Functions, Increasing and Decreasing Functions

Plants are photoautotrophic which means they produce their own food using light. Photosynthesis is the mechanism by which plants produce food using water, a carbon source, and sunlight. In London, ...
0
votes
1answer
18 views

Plotting discrete time signals involving sumations in matlab.

Many of the examples I've encountered while looking for an answer are simple functions that do not involve summations. Suppose I have the following function; ...
1
vote
1answer
14 views

Find global and local maxima and minima, given the graph of the function

My attempts were local max: 3,8 - local min: 5 - global max= 3, global min= 5 Module is giving me incorrect. No partial credit. So I can't tell where the problem lies. local max: 6, 4.?? local ...
-7
votes
0answers
48 views

Extra credit for my daughter [on hold]

So my 11 yr old has an extra credit question worth $25 or a pumpkin full of candy. HELP!!! Here it is. If "f" is continuous on [a,b], then "f" is integrable on [a,b]. Evaluate
1
vote
1answer
13 views

What is the geographic representation of the tangent line not existing at (0,0) of the graph f(x) = |x|?

Graphically, why isn't the $X$ axis considered a tangent line to the function $f(x) = |x|$ at point $(0,0)$? Is the graph too sharp? (V shaped) for there to be a tangent line?
0
votes
1answer
18 views

How do I solve $0 = x\times114 - x\times\log_3(x) - 20.28\times y$ in matlab for different values of $y$?

I have $y = 10^3, 10^6, 10^9, 10^{12}, 10^{15}, ...$ and above mentioned equation. How do I solve (i.e. getting values of x for different y) and plot this equation in MATLAB ?
0
votes
0answers
12 views

For what kind of a profile will the average of the square be greater than the square of the average by a factor of 2?

For a dependent variable, say $\textit{A}$ and independent variable, say $\textit{t}$, what kind of a profile/graph will $\textit{A(t)}$ trace if the condition below is satisfied. ...
0
votes
4answers
34 views

Is there a continuous function f(x) that tends to zero for both positive and negative infinity and f(0) = c

Is there a continuous function f(x) that tends to 0 as x approaches both positive and negative infinity and f(0) = c, where c is some given constant?
3
votes
1answer
23 views

What is the definition of a cusp?

So there are 3 situations that a function is not differentiable 1. a vertical tangent, 2. a discontinuity and 3. at a cusp. Consider the function $f(x)=e^{-|x|}$ at the point $x=0$. It is continuous ...
0
votes
0answers
15 views

finding max and min value of polynomial function with starting point and steps

My instructor said you will find max and min value of a polynomial function. However, you will use a point that is called starting of search and step size. I don't understand starting of search and ...
0
votes
4answers
26 views

Finding the set of values of y for which there are no points on a curve

A curve has the equation: $$y=2x-5+ \frac{18}{x+4}$$ Find the set of values of $y$ for which there are no point on the curve. What I did: Found the maximum and minimum points: ...
0
votes
0answers
20 views

Polar coordinates of hyperbola

What is the sum of the vertices of the equation of $xy=8$? This is a tilted hyperbole and using polar coordinates could solve it I believe
0
votes
1answer
25 views

Prove concavity without testing the second derivative..

Consider a function $F(L)=(L-L^2a)T^{L-1}$, where $0<L<\frac{1}{a}$. The constants $a$ and $T$ may take values over $]0,1[$ and $[0.01,0.1]$, respectively. The first derivative of $F$: ...
1
vote
0answers
21 views

I can't plot this function (y = (8*(1-exp^(-800000000*x))) on Scilab. Error 144 [closed]

I'm a beginner using Scilab, so probably it is a stupid question. Also, I don't know how to change Scilab console messages to English, I'm sorry about that. Here is my code: function [y] = f(x) y ...
0
votes
1answer
28 views

The best way to graph a lot of data

I have a lot of feature vectors in the form of: v1=[x0, x1, x2, x3, x4] where x0, x1, and x2 can take binary values. either 0 or 1 x3 and x4 can take values from 0 up to 9 I have a lot of vectors ...
0
votes
1answer
19 views

How do I get an Archimedean spiral that decreases from an initial radius?

So, where the equation of an archimedean spiral is: $$r = a + b\theta$$ I want to be able to use the equation in this form to then have a function where r decreases in exactly the same way by an ...
0
votes
0answers
35 views

Changing graph $f(x)$ and $g(x)$ [closed]

The graph of $f(x)=x^2$ is changed to create the graph of $g(x)=-9x^2$. a) The maximum value of $g(x)$ is equal to the minimum value of $f(x)$. b) The maximum value of $g(x)$ is less than the minimum ...
0
votes
0answers
7 views

MR Function Question

I have a question about MR Function below: P = 1/Q^2 + 3Q + 1 Find the MR Function and Evaluate it at Q = 4 Are you guys able to elaborate? I've never done these types of questions before, am i ...
1
vote
0answers
25 views

Help with understanding how to sketch a graph of y=1/f(x) and y = xf(x)

I'm having problems trying to figure out how to sketch a graph for these 2 questions. Could someone provide me a step by step guide on how to do this? Thanks in advance.
0
votes
0answers
8 views

What are some planes (spaces) akin to the trace-determinant plane in other disciplines?

When studying basic differential equations, I found the trace-determinant plane incredibly illuminating. Similarly, I find it very helpful to see different kinds of conics as slices of a cone. What ...
4
votes
6answers
67 views

Domain of $\frac{1}{\frac{1}{x}}$

Let $f(x)=\frac{1}{x}$, then we have $f^{-1}(x)=\frac{1}{x}$. So $f(f^{-1})=\frac{1}{\frac{1}{x}}=x$. My question is, what is the domain of $f(f^{-1})(x)$? is it everything? or everything but zero? ...
0
votes
0answers
9 views

Find the point where the greater growth rate surpasses the lesser one without graphing

I have 2 lines: f(x) = 2010x^2 + 1388x and g(x) = x^3 What's the strategy for finding a x1 >= 0 where g(x) becomes greater than f(x) for all x >= x1? If one DNE, how would I know?
0
votes
1answer
15 views

How to plot median with 10% and 90% percentiles

I have to make a plot of same data (I do it in Matlab). On the x-axis the time (in seconds) and on the y-axis the response time (in ms). Now I have to do it with "Median with 10% and 90% ...
-1
votes
1answer
19 views

Finding the max with velocity and acceleration graph

I'm confused on why there is a maximum at R. If I flipped the acceleration graph it looks like a continuously increasing function with no max or min to me. Could someone help me understand this? 8a ...
0
votes
1answer
57 views

Sketching Region of Joint p.d.f. of X and Y — Homework Help

How can I sketch the joint p.d.f. of X and Y? $f(x,y)=(\frac{1}{3}$ if $1<x<3$ and $0<y<1$ ; $\frac{1}{6}$ if $6<x<8$ and $0<y<1$ ; $0$ otherwise) After this is graphed, find ...
0
votes
1answer
14 views

Analyze the graph of a derivative

I have the graph of the derivative of some function: And i need to know: a) The critic values of f. b) The X coordinate of each of points where theres an relative extrema of f. c) An interval of ...
1
vote
2answers
25 views

Calculating Formula from Plot Points

Ok, so it's been a very long time since I've done anything like this. I've got a big table of data to enable you to look up a certain $X$ value (bodyweight) and get a $Y$ value (co-efficient for ...
0
votes
0answers
26 views

How to sketch the graph of $y=6-4\cos(x/2 )$?

How can I sketch a graph such as $y=6-4\cos(x/2 )$? Should we stretch the graph horizontally with a scale factor of $2$, translate the graph by $6$ units in the positive $y$-direction and the graph ...
0
votes
2answers
65 views

Plot the graph of a discontinuous function of two variables using Maple

I want to plot the level curve of $xyz = 1$; According to wolfram alpha the plot should look like this; But instead I end up with; Here's my Maple code. I'm sure it's because the function is ...
1
vote
2answers
27 views

Find a line that is perpendicular from x=10 and one point, (4,5)

The title is quite self-explainary ;) I know that the answer is $y=5$, but I am not sure how does one person come to that conclusions showing all the steps. Can you please help me here?
0
votes
1answer
39 views

How can I plot a 2D figure in MATLAB by “connecting the dots”?

I'm an amateur at MATLAB and I know how to do the basic stuff such as plotting functions, writing M files, functions, for loops, etc but I've be tasked to do something I have never done before. I ...
1
vote
1answer
28 views

How do you call this kind of functions in english?

I have a couple of formulas that I would like to plot, but I can't find the much needed documentation for them because I don't know how to correctly name them in english . This formulas assume that ...
0
votes
1answer
20 views

How to plot bivariate function involving modulus and floor functions?

I need to plot: $\displaystyle\large|||x|-2|-1|+|||y|-2|-1|=1$ $\displaystyle\large\left\lfloor\frac{|3x+4y|}{5}\right\rfloor+\left\lfloor\frac{|4x-3y|}{5}\right\rfloor=3$ either for finding area ...
1
vote
2answers
35 views

Graph of $\arcsin(\cos(x))$

How to draw graph of $\arcsin(\cos(x))$ or even $\arcsin(\sin(x))$ without use of graphing calculator , its sort of confusing me from long time. It gives pointed curves when drawing from calculator , ...
0
votes
0answers
30 views

How to plot this function

How to plot this function in WolframAlpha or some other graphing calculator? $f(x) =\left\{\begin{matrix} 1 & -\dfrac{-2\pi}{3} \leq x \leq \dfrac{2\pi}{3}\\ -1 & ...
0
votes
1answer
28 views

How can I determine the range of the graph $\arccos(1/x^2)$

EDIT: All that is required for me to understand how to graph the function, is how to determine its range As the title implies, I am unsure of how to graph $\arccos(1/x^2)$. So far, I have found ...
0
votes
0answers
27 views

How to draw the graph of mod x-mod y = p?

I need to understand how to draw the graph of mod x -mod y = p. Plotting graphs of functions involving more than one absolute function always poses problems for me. Descriptive help would be ...
0
votes
2answers
34 views

Is there a function whose graph is contained in one quadrant of the coordinate plane?

Is there a function whose graph is contained in one quadrant of the coordinate plane? It should be related to maths and not physics. Please give me the equation and if possible its picture.
2
votes
0answers
42 views

Math software for plotting phase portraits

I'm looking for math software which is possible to plot phase portraits for ODE and systems of differential equations. Is there a software which can create not only simple 2D phase portrait plots but ...
0
votes
2answers
26 views

Finding missing coordinates in a non-linear graph?

If I have the y value for the x values of 1, 2, 3, 7, and 9 in a graph, but I need all 1 through 12, how would I figure out the missing points? ...
0
votes
1answer
48 views

Graph a curve over time

I have not taken a math class outside statistics since about 2001… I know that for some people this will be easy but for me it lives just outside my ability. I am working on a program to control ...
0
votes
0answers
46 views

Sketch a graph of a function that satisfies all of the following condition.

From (a) means x=-1 , x=1 (b) the graph below x axis when -1 < x < 1 the graph above x axis when x<-1 and x>1 (c) where (-1,4) & (1,0) (d) negative slope when x<0, ...
0
votes
0answers
22 views

Finding the formula of a curve

Is it possible to find the simple formula for curves? For example, you want to plot the letter "A" , is it possible to find a formula to graph letter "A" on the coordinate system? To the best of my ...
0
votes
2answers
37 views

Investigation: For what values of $k$ does $y=k\sqrt{x^2-1}$ intersect $y=\ln x$

I'm doing a bit of investigating to try to see where two curves intersect. More specifically, I want to see for what values of $k$ does $y=k\sqrt{x^2-1}$ intersect $y= \ln x$ When you draw the two ...
0
votes
1answer
17 views

Domain of function when open circles are included in graph

how would I write the domain of this function? Would I ignore the part of the graph with the open circles like this? $\{x \ \ / \ -4 \leq x \leq -2 \text{ or } 1 \leq x \leq 4\}$
2
votes
3answers
40 views

Why do polynomial terms with an even exponent bounce off the x-axis?

Like if it's $f(x) = (x-5)^2(x+6)$ Why, at $x=5$, does the graph reflect off the x-axis?
0
votes
0answers
35 views

$3D$ surfaces multivariable Calculus

A surface is constructed as follows: First a curve $(0, y, −((y − 1)^2)((y + 1)^2))$ is drawn in the yz–plane. Then a parabola $(u, u^2)$ is drawn in the uv–plane. Finally, in each plane y = b, a copy ...