2-5-45
X
00:00
/
00:00
CC
For these to be continuous, we need to have the left side limit
equaling the right side limit.
So at X equal -3, the left side is going to be -3.
The right side is going to be that AX minus B, but it's at the
location -3 so we're going to put -3 And for the X so -3 equal
-3 A-B at X = 3, we need the left side limit to be the same
as the right side limit.
So at 3:00 we'd have a * 3 - B, and on the right side we'd have
six, so three a -, b = 6.
Now I'm going to take those two equations we came up with.
I'm going to combine them in order to solve for A&B.
If I add them exactly the way they are, the A's will cancel
and -2 B equals 3, so B is -3 halves.
If I then take -3 halves, substitute it in for B in either
of the two equations, and solve for AI get a equaling 3 halves.
I'm going to subtract the three halves and divide by three and
simplify as I go.