Which of the Following Is (Are) True Of $f ( x ) = 5 + 3 x ^ { 2 } - x ^ { 3 } ?$

question 14

Multiple Choice

Which of the following is (are) true of $f ( x ) = 5 + 3 x ^ { 2 } - x ^ { 3 } ?$
(I) (1, 7) is a point of inflection
(II) f(2) is a relative maximum point
(III) f has a relative minimum point at x = 0
(IV) f is increasing on (2, ?)

• A) II, III, and IV
• B) I, II, and III
• C) II and III
• D) all of these
• E) none of these

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Definitions:

Journal

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Press Conference

A meeting organized for the purposes of distributing information to the media and answering questions from reporters.

Controlled Conditions

Situations or experiments where all variables are managed or regulated to isolate cause and effect relationships.

Second Variable

In research or mathematics, a variable typically referred to after the independent variable, which can be manipulated or measured to observe its effects on the dependent variable.