00:02
Here's a radical function f of x.
00:05
Let's find its domain and draw its graph.
00:08
So for domain, you want to think about what real numbers for x will give you real outputs.
00:14
So if x was a negative and you took its square root, you would not get a real output.
00:19
So x cannot be negative.
00:21
If x is zero, you can take the square root of zero and you get zero, which is real.
00:26
And if x is positive, you can take the square root of a positive and get a real number.
00:30
So x can be zero or positive.
00:34
So for the domain, we say x is greater than are equal to zero.
00:37
Or if you want to write it with interval notation, you can have the interval from zero to infinity.
00:43
Now let's find a few points to plot on the graph.
00:47
I'm going to start with x equals zero...