00:01
We have been given the function h of x is equal to x to the two -thirds power, and we're going to show that this is an even function.
00:06
Now, an even function has to obey the following rule, that is, f of negative k, is equal to f of k.
00:13
In other words, making the input negative, that is, the x value negative, will not change the output, that is the f of x, or in this case, h of x.
00:22
So, let's plug in this function into this rule.
00:25
However, first we're going to do some rearranging, which the book actually recommends we do.
00:28
And this is breaking up our power of x so that instead of being x to the two -thirds, it's x to the one -third raised to the second power or square...