Posted by **Cristina** on Saturday, September 17, 2011 at 3:48pm.

I'm trying to finish up my pre-cal homework and I am stuck on 2 problems...

***determine the intervals over which the function is increasing, decreasing, or constant***

32. f(x)=x^2-4x

33. f(x)=√x^2-1 (that's square root of x^2-1)

thank you so much for the help =)

- Pre-Calculus -
**MathMate**, Saturday, September 17, 2011 at 9:18pm
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.

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