13
practice testMultiple Choice

Practice Test

Question 13 • Mathematics I

Which rule can be used to describe the growth of the y -values of the function y is equal to 12 to the x th power over each interval from x is equal to negative 1 to x is equal to 3 ?

Answer
A
add 1 , then 12 , then 144
B
add 12
C
multiply by 1 , then by 12 , then by 144
D
multiply by 12

Explanation

For y = 12^x, increasing x by 1 multiplies the y-value by 12: 12^(x+1) = 12 · 12^x. For example, from x = −1 to 0, the value changes from 1/12 to 1, a factor of 12; the same factor applies on each successive interval. So the rule is “multiply by 12.”

AI-written and checked against the verified answer.

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