Question

Find the domain, period, range, and amplitude of the cosine function. y = -6 cos 4x

Answer 1

Do you know the period of cosine?

Answer 2

well i just wanted the answer so i can use it as an example to solve the rest of the problems

Answer 3

I think its 1/2

Answer 4

it asks to use the square root method and the answer in the book shows as {-3, 0)

Answer 5

well u have to know this to figure out the problem. sine and cosine have a period of 2pi. The amplitude is always the # on the outside of the function, which means it has a vertical shift. Now the horizontal shift is affected by the # inside the cosine function. To figure this out you have to divide by 2pi.

Answer 6

i don't mean to be ignorant or rude but it doesn't asks for any of that and in the examples it shows no use of sine and cosine.

Answer 7

I just wanted my answer checked. Domain: all real numbers?

Answer 8

so if you graph just y = cos (x) u will see that the amplitude is 1 and a period of 2pi with a range of [-1,1] and a domain of infinity.

Answer 9

Range is (-6,6)

Answer 10

Yup, ur getting it. now for the period. -2pi < 4x < 2pi solve for x by dividing 4 on both sides.

Answer 11

(-1/2, 1/2)?

Answer 12

pi/2

Answer 13

graph it and see

Answer 14

the graph that I did online is not showing that well. I cant enlarge it
Domain all real
Period 1/2
range -6,6
amplitude 6

Answer 15

hello??

Answer 16

sorry, YES U GOT IT! Nice job.

Answer 17

If I had a better graph it would have helped

Answer 18

A good graphing calc helps a lot.

Answer 19

thanks alot. I would give a medal but I dont know how lol...im new here

Answer 20

Lolz