Continuity gives .
Differentiability gives
This is differentiable at -2 .
(a) It is known that if a function is differentiable at a point c, then it is continuous at c. Using now the continuity of f at −2, we can establish a relationship between a and b. Find this relationship and express it in the form b=Aa+B, where A and B are constants.
Answer: b=2a+1
b) Assuming x>-2
simplify into the form Ca+D, where C and D are constants. Find these constants.
Answer: C=1, D=0
c) assuming x<-2
simplify into the form Ex+F, where E and F are constants. Find these constants.
Answer: E=1, F=0
(d) Using the results of parts (a), (b) and (c), find the values of a and b.
This is the part I don't understand how to do. The answer is allegedly -2 & -3.
Can someone please explain how to do this part "D"?
Thank you!