Question

Select all the true statements about this graph.

A. The graph is nonlinear
B. The function increases at the same rate
C. The rate decreases after x = 2
D. The graph is a function
E. The graph is increasing in two intervals
(Picture of graph included.)

Answer 1

✔ A.) True, the function is non-linear because its rate of change alters

✖ B.) False, the function does not increase at the same rate, hence why it is nonlinear.

✖ C.) False, the rate increases after x=2, not decreases.

✔ D.) The graph is a function because it passes the vertical line test.

✔E.) True, the graph is increasing in two intervals because its rate of change alters.

Answer 2

A. The graph is nonlinear.

D. The graph is a function

E. The graph is increasing in two intervals.

Explanation:

We will review each answer choice to decide on our answer to this question.

✓ A. The graph is nonlinear.

Since the graph has a change in it's rate of increase, it's nonlinear.

✗ B. The function increases at the same rate.

As stated below, the rate increases after x = 2 so the function is not increasing at the same rate.

✗ C. The rate decreases after x = 2.

No, the rate increases after x = 2.

✓ D. The graph is a function.

Yes, there is only one output for every input, so this is a function.

✓ E. The graph is increasing in two intervals.

The graph is only increasing in two intervals. These intervals change at x = 2.