Which of the Following Is (Are) True Of $f ( x ) = x ^ { 4 } - x ^ { 3 } ?$

question 76

Multiple Choice

Which of the following is (are) true of $f ( x ) = x ^ { 4 } - x ^ { 3 } ?$
(I) (0, 0) is an inflection point
(II) $\left( \frac { 1 } { 2 } , - \frac { 1 } { 16 } \right)$ is an inflection point
(III) (0, f(0) ) is a relative minimum point
(IV) f is increasing on (0, 2)

• A) I, II, and III
• B) I, II, and IV
• C) I and II
• D) I, III, and IV
• E) all of these

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Definitions:

Unexpected Panic Attacks

Sudden episodes of intense fear or discomfort that arise without warning and without an apparent trigger.

Panic Attacks

Sudden episodes of intense fear or anxiety, often accompanied by physical symptoms such as heart palpitations, shortness of breath, or dizziness.

Specifiers

Further descriptors of a patient’s condition that capture the natural variation in the expression of affective disturbances, and therefore increase the specificity of diagnoses by conveying important information about salient features that might be otherwise overlooked. For example, one specifier used in conjunction with a diagnosis of major depressive disorder is “with melancholic features.”

Specific Phobia

An intense, irrational fear of specific objects, situations, or activities that poses little to no actual danger.