if the rate of change for one linear function is positive and for another is negative can they both be either increasing or decreasing?

Question

Mathematics

Haleigh Berg

13 May, 03:05

if the rate of change for one linear function is positive and for another is negative can they both be either increasing or decreasing?

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Answers (1)

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Guadalupe Mccoy · Answer 1

They can never be both either increasing or decreasing.

Step-by-step explanation:

If the rate of change i. e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.

Therefore, the function must be increasing.

Again, if the rate of change i. e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.

Therefore, the function must be decreasing.

Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)