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Let

 

f(x) = ax + 3 if x > 2

f(x) = x + 5 if -2 <= x <= 2

f(x) = 2x - b if x <= -2

 

Find a+b if the piecewise function is continuous

 Apr 12, 2022
 #1
avatar+124592 
+1

At x = 2, x + 5  = 7

 

If continuous ,then

 

a (2) + 3  = 7

2a  = 4

a = 2

 

Also

 

At x = -2 , x+ 5  =  3

 

If continuous, then

 

2(-2)  - b =  3

-4 - b = 3

-4 -3 = b

-7 = b

 

So

 

a + b  =   2 - 7   =  -5

 

 

cool cool cool

 Apr 12, 2022
 #2
avatar+114 
-2

srry was out for a min

 Apr 12, 2022

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