Graph of y=x^(1/3) and y= -2x^(1/2)

[Michael_Light]

Homework Statement

What is the procedure or hints of sketching this type of graph (i.e. y=x^(1/3) and y= -2x^(1/2) )? I know how it looks like but i had no ideas what is the proper procedure or technique of sketching them. Please help...

Homework Equations

The Attempt at a Solution

I tried but i really don't know how to do...

 

[ƒ(x)]

choose some x values, for example 0,1, and -1, and then, since you know the general shape of the functions, draw an approximation of the lines.

 

[Mark44]

For the second one, presumably you know the shape of y = x^(1/2). Relative to this graph, the graph of -2x^(1/2) is stretched away from the x-axis by a factor of 2 and then reflected across the x-axis.