Which graph has a rate of change of zero?

Answer

A

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 1 comma negative 3) and (1 comma 3).

B

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 1 comma 3) and (1 comma negative 3).

C

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. There is a line parallel to the x axis that is 3 units above the x axis.

D

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. There is a line parallel to the y axis that is 3 units to the right of the y axis.

Explanation

A line’s rate of change is its slope: the change in y divided by the change in x. A horizontal line has no change in y as x changes, so its slope is 0. Choice C is horizontal, 3 units above the x-axis, so it has a rate of change of zero.

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Linear vs. Nonlinear Functions — Quiz

Which graph has a rate of change of zero?

Explanation

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