Determine, using the graph of the function, the intervals on which f(x) = srt(9 − x^2) is increasing and the intervals on which it is decreasing. (Enter your answers using interval notation.)

Answer 1

One way you can do this is draw it out. If the equation sort of looks familiar, it's because it's the equation for the top half of a circle. It's centered at the origin and has a radius of 3 (since the 9 represents r²).

Answer 2

increasing interval: (-infinity, 0)

decreasing interval: (0, infinity)