Question

Analyze the graph h(x).

If f(x) = ? and g(x) = 3x - 2, which of the following is true?
A: h(x) = f(x) - g(x)
B: h(x) = f(x) + 9(2)
C: h(x) = f(x) = g(x)
D: h(x) = f(x) g(x)

Answer 1

D h(x) = f(x)×g(x)

Explanation:

h(x) has a wave with 2 changes in direction.

so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).

and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).