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

• February 9th 2011, 06:21 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)... ^^
• February 9th 2011, 06:33 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.
• February 9th 2011, 08:51 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)... ^^

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

Sketch $y=x^3$.

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