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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.)

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 class=

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Heather

Answer:

A. The graph is nonlinear.

D. The graph is a function

E. The graph is increasing in two intervals.

Step-by-step 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.

A320Aviation
✔ 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.

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