1. ## Identify the interval

Identify the interval on which the function F(x)= 4 - x^2 is increasing or decreasing. Write your answer using interval notation.
My answer was decreasing: (-infinity to infinity) and increasing: (0 to infinity). It was marked wrong. How do I do this problem?
Thanks

2. Originally Posted by rowdy3
Identify the interval on which the function F(x)= 4 - x^2 is increasing or decreasing. Write your answer using interval notation.
My answer was decreasing: (-infinity to infinity) and increasing: (0 to infinity).

Mr F says: How can it be increasing AND decreasing over (0 to infinity). Surely you meant decreasing for (-infinity to 0) which is still wrong but at least it's not wrong because of inconsistency.

It was marked wrong. How do I do this problem?
Thanks
Increasing for $\displaystyle \frac{dF}{dx} > 0$. Solve for x.

3. Originally Posted by rowdy3
Identify the interval on which the function F(x)= 4 - x^2 is increasing or decreasing. Write your answer using interval notation.
My answer was decreasing: (-infinity to infinity) and increasing: (0 to infinity). It was marked wrong. How do I do this problem?
Thanks
Surely it should be obvious that the function cannot be both increasing and decreasing on (0 to infinity)! Did you mean "decreasing on $\displaystyle (-\infty, 0)$ and increasing on $\displaystyle (0, \infty)$"?

That's not correct because the graph of $\displaystyle y= 4- x^2$ is a parabola that opens downward. f(x) is increasing for x< 0 and decreasing for x> 0.