Question

Does the function f of x equals 4 times the quantity 1 over 3 end quantity to the x power represent growth or decay? What is the y-intercept of f(x)?

Growth; (0, 4)
Growth; 0 comma one-third
Decay; (0, 4)
Decay; 0 comma one-third

Answer 1

C

Explanation:

Got it right on exam

Answer 2

• C) Decay; (0, 4)

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Given function:

• f(x) = 4 × (1/3)ˣ

This is an exponential function with the base of 1/3, which is between 0 and 1, hence its value reduces with greater power. So it is an exponential decay.

The y-intercept is the value of the function at x = 0:

• f(0) = 4 × (1/3)⁰ = 4 × 1 = 4

Correct answer choice is C.