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Identify the intervals on which the function is strictly increasing, strictly decreasing, or constant.y=−5x+1

User Ishank Gupta
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1 Answer

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21 votes

For us to be able to determine if the function is increasing, decreasing or constant, we will be considering the following rules:

f(x)=mx+b is an increasing function if m > 0.

f(x)=mx+b is a decreasing function if m < 0.

f(x)=mx+b is a constant function if m = 0.

The given function y = -5x + 1. Under slope-intercept form y = mx + 5, it appears that the slope of y = -5x + 1 is -5.

-5 is less than 0

Therefore, we can say that the function is strictly decreasing.

User Maxqueue
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