Question

Find the right end point for f(x)=-2-cos(2x-pi).

Answer 1

Could also be written as

-cos(2x-pi)-2

Answer 2

So our starting point will be when our angle is zero.\[\Large\rm 2x-\pi=0\]Solving for x gives us:\[\Large\rm x=\frac{\pi}{2}\]That's probably what you got for your starting point, yes?

Our ending point will be when we've completed one revolution, in other words, when our angle is 2pi,\[\Large\rm 2x-\pi=2\pi\]

Answer 3

Are you listing your start and end points as ordered pairs?
Or just the x-coordinates?

Answer 4

Just like in the other problems.

I did pi/2 for my phase shift (starting/left end point).

Answer 5

Right end point = c/b(phase shift) + 2pi/b(period).

Answer 6

Mmmm ok yes, if we're going to stick with that plan,
yes yes yes :) Looks good.

Answer 7

\[\Large\rm \text{right end point}=\frac{\pi}{2}+\frac{2\pi}{2}\]So something like that, yah? :d

Answer 8

Right. Then I went a step further by getting the sum. But technically what I got was an improper fractions, which isn't unheard of, but have not come across in this situation.

Answer 9

Oh ok.
Yah that's one of those things to get used to in big boy math:
`We don't like mixed numbers, those are bad`.

Improper fractions are good :)

Answer 10

You could say that it's `1 and a half` pi's.
But we don't like mixed numbers :o no no no!

If you're more comfortable with decimals, it's ok to call it 1.5pi

Answer 11

Because 3 divided by 2 = 1.5

Answer 12

I guess I'm making an assumption.
I'm hoping that you ended up with 3pi/2,
and not 3pi/4 :)

Answer 13

3pi/2 is what I ended up with and I think she doesn't want us using decimals in this case. So, yay, my math was right!

Answer 14

yay! :)

Answer 15

:D