Linear vs. Nonlinear Functions Answers
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Willis analyzed the following table to determine if the function it represents is linear or non-linear. First he found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14. Then he concluded that since the differences of 6, 10, and 14 are increasing by 4 each time, the function has a constant rate of change and is linear. What was Willis’s mistake?xy1127317431
A
He found the differences in the y-values as 7 – 1 = 6, 17 – 7 = 10, and 31 – 17 = 14.B
He determined that the differences of 6, 10, and 14 are increasing by 4 each time.C
He concluded that the function has a constant rate of change.D
He reasoned that a function that has a constant rate of change is linear.2
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Which graph represents a function with a rate of change of 0.5?
A
On a coordinate plane, a line with negative slope goes through points (negative 1, 1) and (0, negative 1).
B
On a coordinate plane, a line with negative slope goes through points (negative 2, 0) and (0, negative 1).
C
On a coordinate plane, a line with positive slope goes through points (0, negative 1) and (1, 1).
D
On a coordinate plane, a line with positive slope goes through points (0, negative 1) and (2, 0).
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