# Tagged Questions

2answers
40 views

### Graph a function

I have a question, I have a function: $$f(x) = \frac{-x^2-10x}{2}$$ I'm really confused how to replace the x. So, what would be the points in $y$ if $x$ were: $-4, -3, -2, -1, 0, 1, 2, 3, 4$?
3answers
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### sketching the graph

how to sketch the graph $|x+y|= m$, when $m$ is some real number? I personally can not see any efficient or known method to do so...
1answer
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### How to draw the graph of $|x|+|y|=1+x$ and $y+|y|=x+|x|$.

There is this question that asks to draw the graph of $|x|+|y|=1+x$ and $y+|y|=x+|x|$. I know how to draw the graph of $y=\ldots$ using elementary techniques of translating, dilating, etc. But this ...
2answers
37 views

### Parametric Equations

$x=3\sin^3t$ $y=3\cos^3t$ How would I even begin to work out this one? I'm supposed to graph it, but I have no clue what how to even start it.
1answer
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### Why does $f(x) = x \cos 4x$ lie below the $x$-axis in ther interval $[\pi/4, \pi/3]$?

How can I explain why function $f(x)$ lies below the $x$-axis in the interval $\left[\dfrac{\pi} 4, \dfrac{\pi} 3\right]$ where $f(x) = x \cos 4x$?
1answer
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### Graphing functions

I am having problems understanding how to graph the product $fg$ when $f(x) = x$ and $g(x) = |x|$. Any help would be much appreciated!
3answers
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### Graphing rational functions

Graph the rational function $f(x)=\frac{-4}{-x-2}$ Please help me figure out how to start this problem.
1answer
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### Graph all vertical and horizontal asymptotes [closed]

Graph all vertical and horizontal asymptotes of the function $$f(x)=\frac{-10x-11}{-4x-2}.$$ Please help me figure out how to start this problem.
1answer
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### Types of graphs for this

How many ways could this be graphed, in a way such that it shows that the degree or slope of a surface affects the average speed. I think T1, t2 etc means at second 1, second 2. This was done using a ...
5answers
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### Graphing polynomials

Sketch a graph of the polynomial $P(x)=(x-2)^2(x+1)^3$. You must plot and label the x and y intercepts and these should be the only points you plot. How do I sketch the graph of a polynomial?
1answer
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### Straight Line Graph questions

Sorry if the questions is too long My question: how do i find the gradient of the following picture below? I know this formula is required Y= y2-y1/x2-x1 but how do i find out equation of line 2 ...
1answer
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### Help with linear function, I think

In Argentine, the cost of kW/h is $4,5$ cents and in Latin America, $16$ ctvs (average). a) In how many months would you update the cost to reach $16$ cents kW/h, applying a linear $20\%$ increment ...
3answers
37 views

### Having trouble graphing circles and semi circles

I was asked to graph $y = \sqrt{1-x^2}$. How do I do that? I tried to do a table of values but that did not turn out correct Is their a trick to graphing circles, semi circles, hyperbolas etc
0answers
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### Graphing inequalities, elementary geometry (Highschool level)

I am going through some past papers, and one of the few questions I need help with are: For the second one, relating to plotting the square root of 4 - $x^2$, I did a table of values starting ...
4answers
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### Multiple choice question on rates of change (or so I thought)

If I were to find the resistance of the component (see image below), I would either find the equation of the curve and use differentiation or I'd draw a tangent at $V_2$ and then find the reciprocal ...
3answers
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### Graph this function: F(x)=$-2^{|x|+1}$.

Graph this function: F(x)=$-2^{|x|+1}$. when I graph this function and go to check by a graphing calculator I find that I am wrong ! even though I do the horizontal translation So, what's wrong? ...
1answer
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### What's a fast way to sketch $y=\sin (5x) + \frac{3}{10}x \sin (5x)$?

What's a fast way to sketch $y= \sin (5x) + \frac{3}{10}x \sin (5x)$ ? I had this question as part of a recent test paper and I had to sketch it for the range $0 \leq x \leq \pi$ . It was for only 2 ...
1answer
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### How to find last pt of triangle

How to find last pt of triangle. I got (1,7) and (0.5, 4). The equations are y = 3|2x − 1| + 4 and y = −|x − 4| + 10
1answer
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### Drawing a graph of $x\cos\left(\frac 1x\right)$

I have been given a question which asks to draw the graph of $x\cos\left(\frac 1x\right)$ without a calculator. However, I'm unsure as to how to do this. It may involve differentiation as that was the ...
1answer
58 views

### Drawing polar graphs when given theta in terms of the radius

I know how to plot when it is like $r=10 \cdot \sin(2\theta)$. But how to do that when the condition is like: $\theta =2 \pi \cdot \sin(r)$?
0answers
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### How to approach sketching sine and cosine graphs with transformations

Any tips or suggestions in sketching these graphs quickly, and in ONE go? In exams, I don't want to spend ages re-drawing the original sine/cosine graph, one by one, following each new ...
1answer
27 views

### Choosing values for octave/decade scale

I am developing a frequency response simulator for linear circuits which should be able to plot graphs of Voltage x Frequency with the latest varying linearly, in octaves or in decades. The only ...
4answers
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### Equation of a line

I've been practising some past previous exam question and came across this: How would you find the equation of the line with y-intercept? -$\frac{3}{4}$ and slope -$\frac{1}{2}$?
1answer
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### 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 ...
2answers
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### 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.
1answer
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### 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? ...
1answer
52 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 ...
1answer
37 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 ...
2answers
39 views