Question

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 =)

Answer 1

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.