25
QuizMultiple Choice

Using Exponential Functions — Quiz

Question 25 • Algebraic Reasoning

Given the table, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f of x 0 2 4 6 8

Answer
A
Linear; y is equal to 2 x
B
Exponential; y is equal to 1 times 1 point 2 to the x th power
C
Exponential; y is equal to 2 times 1 point 1 to the x th power
D
Linear; y is equal to x

Explanation

The output increases by 2 each time x increases by 1, so the data is linear. Since f(0) = 0 and each output is twice x, a possible formula is y = 2x. This matches choice B, “Linear; y is equal to 2x.”

AI-written and checked against the verified answer.