3
QuizMultiple Choice

N/A — Exam

Question 3 • Algebra II

Which expression can be used to determine the average rate of change in f of x over the interval left bracket 2 comma 9 right bracket ?

Answer
A
f of open paren 9 minus 2 close paren
B
the fraction with numerator f of open paren 9 minus 2 close paren and denominator 9 minus 2
C
the fraction with numerator f of 9 minus f of 2 and denominator 9 minus 2
D
f of 9 minus f of 2

Explanation

The average rate of change of a function from x = 2 to x = 9 is the change in the function’s values divided by the change in x: [f(9) − f(2)]/(9 − 2). Therefore, the correct choice is the fraction with numerator f(9) − f(2) and denominator 9 − 2.

AI-written and checked against the verified answer.

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