00:01
So in this problem, we're given this information that the function f of square root of 5 is equal to 2.
00:11
In other words, we put the square root of 5 into the function, and we get out 2 as the answer.
00:19
And that the domain of the function is all real numbers are, and the range is all integers z.
00:25
And then we're given four different functions down here and asked which one or one.
00:32
Ones, which are the following functions, has these properties, right? these three properties right here.
00:40
So let's look at the first one here.
00:42
So first of all, f of x equals x squared.
00:45
Well, if i do that, then that means f of the square root of five is square root of five squared, which is five, and that's not equal to two.
00:59
So it's not that one.
01:02
Okay, what about the next one? f of x equals absolute value of x well what does that mean that means f of the square root of five is the absolute value of the square root of five which is the square root of five which is not two is either because two squared is four so square root of four is two not square root of five so that one doesn't work all right what about the next one so i get that oops i don't want it in red see from this so f of the square root of 5 is the square root of 5 squared minus 3, which is 5 minus 3, which is 2.
01:50
Okay, so that part works.
01:54
Let's see.
01:54
Domain all real numbers.
01:56
Yeah, i can put any real number into that function.
02:04
That works.
02:05
The range, remember the range is the output, all integers...