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Question

consider the function
f(x)=a+bx,x<14, x=1bax, x>1
If limx1 f(x)=f(1), then the values of a and b are


A

a = 3, b = 1

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B

a = 1, b = 3

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C

a = 0, b = 4

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D

a = 4, b = 0

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Solution

The correct option is C

a = 0, b = 4


Given limx1 f(x)=f(1)limx1 f(x)=f(1) & limx1+ f(x)=f(1)a+b=4 and ba=4a=0, b=4


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