30
practice examMultiple Choice

Practice Exam

Question 30 • Mathematics II

What is the rate of increase for the function f of x is equal to 1 third times open paren cube root of 24 close paren raised to the 2 x power ?

Answer
A
1 third
B
4 cube root of 9
C
2 cube root of 3
D
4

Explanation

Rewrite the function as f(x) = (1/3)[(∛24)²]^x. The exponential growth factor, or rate of increase, is the base raised to the power of x: (∛24)² = ∛576 = ∛(64 × 9) = 4∛9. So the rate of increase is 4 cube root of 9, choice B.

AI-written and checked against the verified answer.

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