Exponential and Logarithmic Functions — Test

Question 14 • Algebra 2 with Probability

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

Answer

open paren negative 1 comma negative 1 half close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 half close paren , open paren 2 comma 1 close paren

open paren negative 1 comma 1 close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 4 close paren

open paren negative 1 comma 1 half close paren , open paren 0 comma 1 close paren , open paren 1 comma 2 close paren , open paren 2 comma 4 close paren

open paren negative 1 comma negative 1 close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 8 close paren

Explanation

For an exponential function, when x increases by 1, the y-values are multiplied by the same factor. In choice B, the values go from 1/2 to 1 to 2 to 4, multiplying by 2 each time. These points fit the exponential function y = 2^x, so the correct choice is B, (−1, 1/2), (0, 1), (1, 2), and (2, 4).

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