SOLUTION: Find the values of a and b that will make the function continuous every where. Justify. f(x)= x^2+11x+10/x+1, x<-1 e^2ax , -1<= x <= 1 bx^2-ax, x>1 thank you in advance!

Question 1017899: Find the values of a and b that will make the function continuous every where. Justify.
f(x)=
x^2+11x+10/x+1, x<-1
e^2ax , -1<= x <= 1
bx^2-ax, x>1
thank you in advance!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I believe what you meant is

The pieces of that function are continuous in

, and

.
We just have to make it continuous at and .

For , we have .
For , , and
,
so for to be continuous at ,
it must be -->-->-->

For , we have .
For , , and
,
so for to be continuous at ,
it must be .
Since we knew that
--> ,
substituting into , we get -->
RELATED QUESTIONS
Let f be the function defined by f(x)=(cx-(5x^2))/((2x^2)+ax+b), where a, b, and c are... (answered by solver91311)

Let f be a continuous function such that f(-1) = -1 and f(1) = 1. Classify each of the... (answered by robertb)

Let f be a continuous function such that f(-1) = -1 and f(1) = 1. Classify each of the... (answered by richard1234)

find the values of A, B and C if (x-1), (x+2), and (x-2) are factors of... (answered by greenestamps)

find the values of A,B,C if (x-1),(x+2) and (x-2) are factor of... (answered by ikleyn,math_tutor2020)

x 0 1 2 3 f(x) 1 2 5 10 The table above... (answered by ewatrrr)

A1 {{{f(x)= system( (x^2-1)/(x^2+x-2), if x< 1, 3, if x =1, e^1-x, if... (answered by Aldorozos,MathTherapy)

x^2-2ax=1 (answered by Alan3354)

Find the values of a and b so that the function f(x)=(1/3)x^3 + ax^2 +bx will have a... (answered by greenestamps)