00:01
Consider this graph of the function y equals f of x.
00:04
For the first part, we are to find the domain and range of this function.
00:09
Now, for the domain, we are to give this set of x values where the function is defined.
00:16
Based on this figure, since the smallest x value is at negative 4, and the largest would have been at 5.
00:27
And since it's open, the domain will be the interval from negative 4.
00:35
We'll use bracket since it's a shaded point at x equals negative 4 until 5, but 5 will have to use parenthesis since we have an open point at x equals 5.
00:50
Now all x values in this interval makes the function defined.
00:55
Defined, meaning there is a specific y value for that x value.
01:03
And for the range, it will be the set of y values where f is defined.
01:09
Now, if you look at this curve again, we see that the smallest value of y that it could use is negative 4, and the largest will be 5.
01:24
However, since it's an open point, point at y equals negative 4, then the range must be, parenthesis, negative 4 to 5, and then bracket...