Hey everyone, I can't figure this problem out:

Find the constants a and b that will make the following function continuous everywhere.

f(x)=

Thanks in advance!

- if x<0
- sin if 0<=x<=2
- if x>2

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- February 3rd 2011, 12:18 PMbodelContinuity
Hey everyone, I can't figure this problem out:

Find the constants a and b that will make the following function continuous everywhere.

f(x)=

- if x<0
- sin if 0<=x<=2
- if x>2

- February 3rd 2011, 12:39 PMskeeter
- February 3rd 2011, 12:59 PMbodel
Thanks skeeter!! I actually got the same answers for both sides of the limit of x=0 and x=2. I was getting confused because I knew they had to equal each other, but I didn't actually set the answers equal and solve for the constant.

Would a = sin(3) and b = -sin(3)-2 - February 3rd 2011, 01:22 PMPlato
- February 3rd 2011, 02:01 PMbodel
- February 3rd 2011, 02:22 PMskeeter

works for me.