Interval Notation for Increasing and Decreasing Intervals of a FunctionThis was brought up by another...

Ty Moore

Ty Moore

Answered

2022-11-22

Interval Notation for Increasing and Decreasing Intervals of a Function
This was brought up by another student in one of my pre-calculus classes.
The graph was a simple quadratic x 2 . The teacher stated that the graph was decreasing from ( , 0 ), and increasing from ( 0 , ).
Why would zero not be included? i.e: decr. ( , 0 ] and incr. [ 0 , )

Answer & Explanation

reinmelk3iu

reinmelk3iu

Expert

2022-11-23Added 21 answers

Explanation:
Because for f(x) to be decreasing f ( x ) < 0. And for increasing f ( x ) > 0. But at x = 0, f ( x ) = 0 hence it's neither decreasing nor increasing at x = 0
figoveck38

figoveck38

Expert

2022-11-24Added 1 answers

Explanation:
Generally the 0 is not included because the function is not decreasing (or increasing) at 0.
It would be accurate, however to say that y = x 2 is non-increasing on the interval ( , 0 ]

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