7
QuizMultiple Choice

Transformations of Functions — Quiz

Question 7 • Mathematics III

The value of a graphed function doubles for each increase of 1 in the value of x Which of the following could be the parent function of the graphed function?

Answer
A
y is equal to square root of x
B
y is equal to 2 to the x th power
C
y is equal to x squared
D
y is equal to absolute value of 2 x

Explanation

A function that doubles whenever x increases by 1 has the pattern of an exponential function with base 2: each step multiplies the value by 2. The parent function y = 2^x has this property because 2^(x+1) = 2 · 2^x. Therefore, the correct choice is y = 2 to the x power.

AI-written and checked against the verified answer.

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