PreCalculus
posted by Cristina on .
I'm trying to finish up my precal homework and I am stuck on 2 problems...
***determine the intervals over which the function is increasing, decreasing, or constant***
32. f(x)=x^24x
33. f(x)=√x^21 (that's square root of x^21)
thank you so much for the help =)

Calculate f'(x).
For increasing, find the interval on which f'(x)≥0, and for decreasing, find interval on which f'(x)≤0.
For example,
f(x)=x²
f'(x)=2x
f'(x)≥0 when x≥0, so
f(x) is increasing when x∈ [0,∞).
For decreasing, you'd go through the same process for f'(x)≤0.