00:01
In this question, even the function h, the piecewise defined function h, were asked to find the value of h at different values of x.
00:08
First is h of negative x.
00:11
So, first of all, h is a piecewise defined function, which means you have different rules for different values of x.
00:20
When x is less than negative 6, you are going to use the first formula.
00:24
When x is between negative 6 and 1, including negative 6, you are going to use the second formula, and when x is greater equal than one, we're going to use the third formula.
00:36
So, negative 8 falls in the first case, because negative 8 is less than negative 6.
00:42
So we are going to use the formula negative 3x minus 13.
00:45
So we're going to get negative 3 multiplied by negative 8 minus 13.
00:50
This equals to 24 minus 13 and equals to 11.
00:57
Now let's find h of negative 4.
01:00
Negative 4 is greater than negative 6, but it's less than 1...