26
QuizMultiple Choice

N/A — Exam

Question 26 • Mathematics I

Which is the best description of the graph of the function f of x is equal to 60 times 1 third to the x th power ?

Answer
A
The graph has an initial value of 20 , and each successive term is determined by multiplying by 1 third .
B
The graph has an initial value of 20 , and each successive term is determined by subtracting 1 third .
C
The graph has an initial value of 60 , and each successive term is determined by subtracting 1 third .
D
The graph has an initial value of 60 , and each successive term is determined by multiplying by 1 third .

Explanation

At x = 0, f(0) = 60 × (1/3)^0 = 60, so the graph’s initial value is 60. Increasing x by 1 multiplies the function value by 1/3, because the exponent increases by 1. Therefore, the best description is that the initial value is 60 and each successive term is determined by multiplying by 1/3.

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