# Graph of y=x^(5/2) and -2x^(1/2)

• Feb 9th 2011, 05:21 PM
MichaelLight
Graph of y=x^(5/2) and -2x^(1/2)
Any procedure or guidelines on how to sketch the graph y=x^(5/2) and -2x^(1/2)? I know how it looks like but i had no ideas on the proper procedure of drawing them. Any tips? Thanks. (Happy)

Sorry, its y=x^(1/3) and not y=x^(5/2)... ^^
• Feb 9th 2011, 05:33 PM
rtblue
Try an xy table. Choose values for x, calculate the corresponding y values, and plot the points. You should be able to sketch the graph reasonably.
• Feb 9th 2011, 07:51 PM
Ithaka
Quote:

Originally Posted by MichaelLight
Any procedure or guidelines on how to sketch the graph y=x^(5/2) and -2x^(1/2)? I know how it looks like but i had no ideas on the proper procedure of drawing them. Any tips? Thanks. (Happy)

Sorry, its y=x^(1/3) and not y=x^(5/2)... ^^

$\displaystyle f(x)=x^{\frac{1}{3}}$ is the inverse function of $\displaystyle y=x^3$

Sketch $\displaystyle y=x^3$.

What is the relationship between the graph of $\displaystyle y=f(x)$ and $\displaystyle y=f^{-1}(x)$?