Question

Where is the function decreasing?

A.-3 < x < 1

B.-∞< x < -3 and 1 < x < 4

C. 1 < x < 4

D.-∞< x < 1

Answer 1

A. -3 < x < 1

General Formulas and Concepts:

• Reading a Cartesian Plane
• Analyzing a Graph

Explanation:

"When is the function decreasing" is saying when the graph is going down.

Calculus-wise, we are finding when the slope of the tangent line is negative.

From the graph, we see it decreasing from -3 to 1. Everywhere else is increasing.

Therefore, our interval decreasing is from (-3, 1).