Determine the values of a and b for which the following function is continuous at every real number x

f(x) { ax+b if x ≤ 1
-2bx^2 - 8a if 1

Question

Determine the values of a and b for which the following function is continuous at every real number x

f(x) { ax+b if x ≤ 1
        -2bx^2 - 8a if 1 < x < 2
        4b^2/a -5x if x ≥ 2 }

aravindg · Answer

ok what you need to do is that for each junction points evalute LH limit and RH limits and equate them  for continuity.

You will get 2 equation in a and b , solve for a and b :)

aravindg · Answer

got it @alyannahere ?

anonymous · Answer

explain further please @AravindG :D

anonymous · Answer

like will it be
 ax+b 
x->1^+
x->1^- ??

anonymous · Answer

then it would still be a+b @AravindG

aravindg · Answer

no it would be the second equation

anonymous · Answer

i'm so sorry  but could you please show me how to do it? i can't seem to understand @AravindG

aravindg · Answer

ok lets take an example

anonymous · Answer

is it 

a=0,-10
b=0

@AravindG 

then if i got the a&b.. what next?

aravindg · Answer

can you show your working?

anonymous · Answer

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