Exam

ISEE Upper Level

Section

Difficulty

Mathematics Achievement

Determining Values and Extrema of a Polynomial Function

Very Hard Algebra Functions

Consider the function defined by:

$$f(x) = x^3 - 6x^2 + 11x - 6$$

What is the value of $$f(3)$$, and is it a local minimum, local maximum, or neither?

A

$$f(3) = 0$$; Local Minimum.

B

$$f(3) = 0$$; Local Maximum.

C

$$f(3) = 0$$; Neither.

D

$$f(3) = -6$$; Local Minimum.

Hint

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