Exponential and Logarithmic Functions — Test

Question 11 • Algebra 2 with Probability

Which set of ordered pairs could be generated by an exponential function?

Answer

open paren 1 comma 1 close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 ninth close paren , open paren 4 comma 1 over 16 close paren

open paren 1 comma 1 half close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 eighth close paren , open paren 4 comma 1 over 16 close paren

open paren 1 comma 1 close paren , open paren 2 comma 1 half close paren , open paren 3 comma 1 third close paren , open paren 4 comma 1 fourth close paren

open paren 1 comma 1 half close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 sixth close paren , open paren 4 comma 1 eighth close paren

Explanation

For an exponential function, when the x-values increase by 1, the y-values must be multiplied by the same factor each time. In choice D, the y-values go from 1/2 to 1/4 to 1/8 to 1/16, so each step multiplies by 1/2. Thus, the ordered pairs in choice D could come from an exponential function.

AI-written and checked against the verified answer.

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