Answer:
- increasing: x < 2
- decreasing: x > 2
- constant: nowhere
Step-by-step explanation:
This piecewise linear function is increasing where the slope of the line is positive. The coefficient of x is positive for x < 2, so that is where the function is increasing. The slope of the line is undefined at any discontinuity.
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The function is decreasing where the slope is negative, for x > 2.
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The function is not defined as constant anywhere. There is no interval in which it is constant. (The slope at x=2 is undefined, not zero.)
