5
QuizMultiple Choice

Linear vs. Nonlinear Functions

Question 5 • GA-Algebra: Concepts and Connections A

Is the function represented by the table non-linear?xy6472809–2

Answer
A
Yes, because it has a constant rate of change.
B
Yes, because it does not have a constant rate of change.
C
No, because it has a constant rate of change.
D
No, because it does not have a constant rate of change.

Explanation

As x increases from 6 to 7 to 8 to 9, y decreases from 4 to 2 to 0 to −2. Each time x increases by 1, y changes by −2, so the rate of change is constant. The function is linear, not non-linear, so the correct choice is “No, because it has a constant rate of change.”

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