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Mathematics 7 Online
OpenStudy (18jonea):

Graph https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAQniGNz21neSA.41k246z9iiDVClXqgS9LVB/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u2l6%203.jpg

OpenStudy (18jonea):

@texaschic101

OpenStudy (antiprime):

\left[0,\:2\pi \right]

OpenStudy (antiprime):

\[\left[0,\:2\pi \right]\]

OpenStudy (18jonea):

?

OpenStudy (18jonea):

@ganeshie8

OpenStudy (18jonea):

so it is none of the graphs @texaschic101

OpenStudy (18jonea):

?

OpenStudy (18jonea):

@Directrix

OpenStudy (18jonea):

@freckles

OpenStudy (18jonea):

is it none of the graphs

OpenStudy (freckles):

I thought that was a - sign and a fraction in front of the cot thing but it looks like it is just a long fraction bar so you are looking at \[y=\frac{\pi}{4} \cot(x-\frac{\pi}{4})\] we can find the zeros of the graph by solving cos(x-pi/4)=0 and find the vertical asymptotes by solving sin(x-pi/4)=0

OpenStudy (18jonea):

ok how would I do that

OpenStudy (freckles):

\[\cos(u)=0 \text{ when } u=\frac{\pi}{2}+n \pi \\ \text{ so } \\ \cos(x-\frac{\pi}{4})= 0\text{ when } x-\frac{\pi}{4}=\frac{\pi}{2}+n \pi \\ x=\frac{3\pi}{4}+n \pi\] so you have the graph crosses the x-axis at the following x values in the interval given: -5pi/4,-pi/4,3pi/4, 7pi/4 you can try solving for the vertical asymptotes in a similar way

OpenStudy (18jonea):

?

OpenStudy (18jonea):

I am so confused

OpenStudy (freckles):

do you know how to solve cos(u)=0?

OpenStudy (18jonea):

no

OpenStudy (freckles):

oh then how do you do this problem?

OpenStudy (freckles):

are you just suppose to graph it on your calculator ?

OpenStudy (18jonea):

Im not sure and yes and figure out what graph it is

OpenStudy (freckles):

well if you don't need to do any math just use your calculator...

OpenStudy (freckles):

are you sure you aren't suppose to do any math?

OpenStudy (18jonea):

I did and I still dont get a graph so can you show me?

OpenStudy (freckles):

well you can play with the window on your calculator options sometimes the window is what causes the graph not to show up

OpenStudy (freckles):

like what is the window viewing settings set to?

OpenStudy (18jonea):

What is that?

OpenStudy (freckles):

the window is from what lower x to what upper x and what lower y and upper y you want to view the graph like it might by called xmin xmax ymin and ymax what kind of calculator are you using

OpenStudy (freckles):

I would set xmin=-6.5 xmax=6.5 since we are looking at (-2pi,2pi)

OpenStudy (freckles):

And I would set ymin=-10 ymax=10

OpenStudy (18jonea):

I know but what graph is it from the above options

OpenStudy (freckles):

can you tell me if your graph you have graphed in your calculator is increasing or decreasing?

OpenStudy (freckles):

like on one cycle

OpenStudy (18jonea):

decreasing

OpenStudy (freckles):

but graph A shows a graph that is increasing so can't be graph A

OpenStudy (freckles):

can it by graph B? make some observations ? look at the midpoint of one cycle is the midpoint a zero?

OpenStudy (18jonea):

no?

OpenStudy (freckles):

your midpoint of one cycle lays on the x-axis while a midpoint of B's graph lays well above the x-axis

OpenStudy (freckles):

what can you say about graph C?

OpenStudy (freckles):

do you notice any difference between graph C and your graph?

OpenStudy (18jonea):

that the midpoint is 0?

OpenStudy (freckles):

they both have the midpoint of a cycle being 0 don't they?

OpenStudy (18jonea):

I think so?

OpenStudy (freckles):

|dw:1459348648089:dw| this what I mean by one cycle

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