Homework Help: Pre-Calculus

Posted by Peter on Saturday, August 11, 2012 at 2:31pm.

Determine the open intervals on which the function is increasing, decreasing, or constant.

f(x) = 3
f(x) = x^(2/3)
f(x) = -x^(3/4)

Pre-Calculus - Steve, Saturday, August 11, 2012 at 4:55pm
if f' > 0, f is increasing. So,

f(x)=3
f' = 0
f is constant everywhere

f(x) = x^(2/3)
f' = 2/3 x^(-1/3)
f' > 0, so f is increasing everywhere

f(x) = -x^(3/4)
f' = -3/4 x^(-1/4)
f' < 0 so, f is decreasing everywhere

rather poor examples, since there are no finite open intervals involved

Answer this Question

Related Questions

Pre-Calculus - I'm trying to finish up my pre-cal homework and I am stuck on...
Pre-Calculus - I'm trying to finish up my pre-cal homework and I am stuck on...
Calculus - I'm trying to finish up my pre-cal homework and I am stuck on 2 ...
Calculus - find the intervals where the function is increasing and the intervals...
calculus - find the intervals on which the function is increasing, decreasing, ...
Math - determine the intervals over which the function is increasing, decreasing...
calculus - Given f(x)=sin(x)-2cos(x) on the interval [0,2pi]. a) Determine where...
Engineering Calculus - f(x)=((6x-3)/(x+6)) how do you find the intervals of ...
Calculus - 1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers ...
Calculus.......plz help! =) - Use any calculus method to determine extrema, ...

For Further Reading

First Name:
School Subject:
Answer: