Posted by **mary** on Thursday, March 15, 2012 at 8:34pm.

Hello, I would greatly appreciate your input.

I just need some reassurance that I'm going about this question the right way. I am to find out where h(x)=x*(x-1)^(1/3)is increasing and decreasing. so after I did some solving I found my critical points to be x=(3/4) and x=1.

I tested for some values and stated that h is decreasing at the following intervals: (-∞,3/4) and (3/4,1) and is increasing at (1,∞).

Is this correct? I'm just confused because when I check on a graphing device, it does not show the functions x intervals from (-∞,1), but I thought that this function would have x as a set of real numbers. Am I wrong? If so, please tell me the correct way to go about this.

Thank you for your time. :)

- calculus-domain -
**Reiny**, Thursday, March 15, 2012 at 8:52pm
I don't know what you are using to graph your function, but I find this site extremely useful

http://rechneronline.de/function-graphs/

It lets you graph more than one function and it lets you change the ranges for for both x and y

I entered x*(x-1)^(1/3) with the

x-range from -1 to 2 to show your x=3/4 is correct to produce a local minimum.

Experiment with the y-range to get a closer look at the function

- calculus-domain -
**mary**, Thursday, March 15, 2012 at 9:20pm
:O This graphing device is much better! I was using an application made by google chrome x). Thank you so much, I'll use this from now on :)

## Answer This Question

## Related Questions

- calculus: related rates - hello, please help me. A cylindrical can is being ...
- calculus - The length of a rectangle is decreasing at the rate of 2 cm/sec, ...
- Math Analysis - 4. Find f(x) + g(x) when f(x) = x^(1/2) and g(x) = 6x^(1/2...
- increasing decreasing calc - f(x)=x^3=12x-24 f'(x)=3x^2+12=0 3x^2=-12 x^2=-4 ...
- APCalculus - For the function y=2sin(x)-cos^2(x) on [0, 2pi] find the following...
- Calculus - Find the intervals on which the given function is increasing and ...
- English - Hello, need help in answering this question what does race and ...
- physics - ignoring air resistance, describe how an object would fall to the ...
- Math - What is the domain? Use a graphing utility to determine the intervals in ...
- Math(Help!!) - What is the domain? Use a graphing utility to determine the ...

More Related Questions