Question
Asked Sep 23, 2019
For what values of a and b is the following function continuous at every x?
-1
xs - 1
f(x) < ax b -1<x<1
6
For what values of a and b is the function f continuous at every x?
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For what values of a and b is the following function continuous at every x? -1 xs - 1 f(x) < ax b -1<x<1 6 For what values of a and b is the function f continuous at every x?

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Step 1

At x=-1 , left hand limit=-1 

Right hand limit= a(-1)-b= -a-b

The function is continuous so left hand limit = right hand limit

-1 = -a - b

Or, a+b= 1 

Step 2

At x=1 , left hand limit= a(1)-b=a-b

Right hand limit= 6

The function is continuous so left hand limit = right hand limit at x=1

a - b=6

Step 3

a+b=1 

a-b=6

From these two equations we have to find a and b.

If...

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