Question

Please help!

Consider the two functions below:

f(x)=2cos(pix)
g(x)=1/2cos(2x)

1) What are the amplitudes of the two functions?

2) What are the periods of the two functions?

3) Draw sketches of at least two periods of the two graphs, labeling each of the graphs. You may have to approximate the critical points of one of the graphs.

Answer 1

f(x) has an amplitude of 2
G(x) has an amplitude of 1/2

f(x) 2pi/pi=2
g(x) 2pi/2=pi