- #1
pulau_tiga
- 13
- 0
Find the constants a and b such that the function is continuous on the entire real line:
f(x) = {e^ax , x < or = to 1 ; 2x+b, x >1
I found the limits as x approaches 1 from the left and the right.
and set the two equations equalling each other
e^a = 2+b
However, I do not know what to do now. I have two unknowns.
If anyone could help me, or point me in the right direction. It would be greatly appreciated.
Thanks.
f(x) = {e^ax , x < or = to 1 ; 2x+b, x >1
I found the limits as x approaches 1 from the left and the right.
and set the two equations equalling each other
e^a = 2+b
However, I do not know what to do now. I have two unknowns.
If anyone could help me, or point me in the right direction. It would be greatly appreciated.
Thanks.