Compare the functions shown below: f(x)

polynomial graph with x intercepts at negative 3, negative 2, 1, 2, y intercept at negative 12
g(x)

trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
Over the interval x = 0 to x = 2π h(x) = 2x3 − 2x2 − 3x + 2

Which function has the most x-intercepts?
f(x)
g(x)
h(x)
All three functions have the same number of x-intercepts.

Question 2(Multiple Choice Worth 2 points)
(09.05)

Compare the functions shown below:

f(x) = 3 cos 2x + 4
g(x)

cosine graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
h(x)

x y
−6 −11
−5 −6
−4 −3
−3 −2
−2 −3
−1 −6
0 −11

Which function has the greatest maximum y-value?
f(x)
g(x)
h(x)
All three functions have the same maximum y-value.