|
It definitely helps to know the properties of f(x)=x^(p) for the following values of p:
1/3, 1/2, 1, 2, 3.
Graph them and compare their "behavior" for
x<-1
-1=<x<0
0=<x<1 and
1=<x.
(Domain of x^(1/2) is x>=0).
Make a table with a column for each interval and a row for each p.
Pug some value for x from each interval into f(x)=x^p for each p and fill out the table.
See how these functions are interrelated?
Now you see the "Fast way to approach this problem".
And not only this one.
Check out 550/14, 585/13, and 745/8 on the Blue Book.
|