Answer:
(c) h(x) has the smallest minimum; it is -6
Step-by-step explanation:
We're comparing three different functions to determine which has the smallest minimum:
H(x) has the minimum -6.
g(x) has a parabolic graph. Its vertex is at (3, -1) and so its minimum is -1
f(x) is a sinusoidal function with amplitude 2. The smallest value that 2 sin (3x + pi) can take on is -2, from which we subtract -2, to obtain the minimum -4.
Answer (c) is correct: The smallesst minimum is -6 and that is for function h(x).
