4
AssignmentMultiple Choice

Slope, Tangent Line, and Normal Line

Question 4 • AP Calculus AB - MA5186 A

If f(x) = x2 – x, what is the value of f(2 + h)?

Answer
A
2 + 3h + h2
B
2 + 5h + h2
C
4 + 3h + h2
D
4 + 5h + h2

Explanation

Substitute 2 + h for x in f(x) = x² − x: f(2 + h) = (2 + h)² − (2 + h). Expanding and combining like terms gives 4 + 4h + h² − 2 − h = 2 + 3h + h². The correct choice is A, 2 + 3h + h².

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