Exponential and Logarithmic Functions — Test

Question 8 • Algebra 2 with Probability

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

Answer

open paren 0 comma 1 close paren , open paren 1 comma 3 close paren , open paren 2 comma 9 close paren , open paren 3 comma 27 close paren

open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 8 close paren , open paren 3 comma 27 close paren

open paren 0 comma 1 close paren , open paren 1 comma 2 close paren , open paren 2 comma 5 close paren , open paren 3 comma 10 close paren

open paren 0 comma 0 close paren , open paren 1 comma 3 close paren , open paren 2 comma 6 close paren , open paren 3 comma 9 close paren

Explanation

For an exponential function, equal increases in x produce a constant multiplicative change in y. In choice B, each time x increases by 1, y is multiplied by 3: 1 to 3 to 9 to 27. Choice A does not have a constant ratio, while C and D include y = 0 at x = 0 and do not follow a single exponential pattern for these values.

AI-written and checked against the verified answer.

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