00:01
So we have a function f of x, that equals 9x to the 6th minus 13x to the 5th.
00:13
And i want to first find the domain.
00:19
So the domain for this function is all real numbers.
00:24
It's a polynomial.
00:25
It has no restricted values.
00:28
Next, i want the x intercepts.
00:31
So to find the x intercepts, i'm just going to set my function equal to zero.
00:39
I'm going to factor out x to the fifth.
00:42
That leaves me with 9x minus 13.
00:46
So i know that x is zero and x is 13 over 9.
00:55
So my x intercepts are x equals 0 and 13 over 9.
01:04
Next, i want to find the y intercept.
01:12
The y intercept is just the value of the function when the input is zero.
01:22
So that gives me just zero.
01:26
Then i want to know where the function is increasing.
01:31
So to find where it's increasing, i'm going to find the derivative, which is going to give me 54x to the fifth.
01:47
Minus 65 x to the fourth...