Let $f(x)=x^{-2 / 3}$ Use a Graph to Decide Which One of the Following

question 62

Multiple Choice

Let $f(x) =x^{-2 / 3}$ .Use a graph to decide which one of the following statements is true.

• A)When x = -5, the derivative is negative; when x = 5, the derivative is positive; and as x approaches infinity, the derivative approaches 0.
• B)When x = -6, the derivative is positive; when x = 6, the derivative is also positive, and as x approaches infinity, the derivative approaches 0.
• C)When x = -7, the derivative is negative; when x = 7, the derivative is positive, and as x approaches infinity, the derivative approaches infinity.
• D)The derivative is positive at at all values of x.

---

Definitions:

Type A Personalities

A temperament characterized by high levels of competitiveness, self-motivation, aggressiveness, and a constant sense of urgency.

Type B Personalities

Individuals characterized by a relaxed, patient, and easy-going nature.

Stress Experience

The physical and emotional reactions individuals undergo when confronted with demands that they feel unable to meet, often leading to various health and performance issues.

Interpersonal Demands

The pressures and challenges associated with interactions between individuals in a workplace or social setting.