Would anyone be able to tell me how I'd go about obtaining this answer? Here's what I've done so far.
-2(x) + b => -2(2) + b => -4 + b (from the left side)
-24/x-b => -24/(2)-b (from the right side)
the part/step I don't understand is when you add them together and come out with . . .
(-4+b)(2-b) = -24 ??? How do you come up with this?
I know the next step is multiply out and move -24 to the left so that you set it to = 0.
b2-6b-16 = 0
(b-8)(b+2) = 0
So the answer to this problem is b=8 (because it has a greater absolute value than 2)
Hope this isn't confusing to anyone reading this. Any help would be greatly appreciated! Thanks, Ana
Here's the problem
There are exactly two values for b which make f (x) a continuous function at x = 2. The one with the greater absolute value is b=?