Question

how do you find the range of: 4cosx+1

Answer 1

Well, what would the range values of \(\cos x\) normally be? Then, how do those get modified by the transformations on what you have been given?

Answer 2

so you raise the amplitude to 4 then shift the graph up one?

Answer 3

making it go from [-1,1] to [-3,5]

Answer 4

Yep. And look at range (output, y) values.

Answer 5

Yah. Looks good.

Answer 6

i thought if its +1 then it shift down? or is that just if your shifting it left and right then its opposite of the value

Answer 7

+1 shifts up.

Answer 8

would cos(x+1) shift left one?

Answer 9

Well, is it \(4cos(x+1)\) or \(4\cos (x) +1\)... ah, you are getting it.

Answer 10

yes.

Answer 11

Another way of writing the range is: \(\{y|-3\le y\le 5\}\) So make sure you use the notation your class wants.

Answer 12

got it thanks alot.

Answer 13

np. have fun.