Question

which of the following statements correctly describe this function? select all that apply.
e. it is nonlinear.
c. it is both increasing and decreasing
a. it is increasing at a constant rate.
d. it is linear.
b. it is decreasing at a constant rate.

Explanation:

Step1: Analyze the graph

The graph is a straight line passing through the origin, so it's a linear function (matches option D).

Step2: Check the slope

A straight line has a constant slope. Since it's rising from left to right, it's increasing at a constant rate (matches option A).

Step3: Eliminate wrong options

• Option B: It's increasing, not decreasing. Eliminate.
• Option C: A linear function with positive slope can't be both increasing and decreasing. Eliminate.
• Option E: It's linear, not nonlinear. Eliminate.

Answer:

A. It is increasing at a constant rate, D. It is linear