Find values of a and b for piecewise function continuity

[denham]

need serious help :) (values of a and b that make f continuos everywhere

f(x) = { A+x, if x ≤ -π
{ A sin(x) -1, if -π<x<π
{ B+ cos(3x), if x≥π

π=pi (symbol is showing up wierdly for me

kinda left this late as i needa have this problem solved in 2 hours, sorry about this and any help would be appreciated

 

[Berko]

Choose A such that A + x = A sin(x) - 1 when x = -n.

Same approach for B.

 

[jhae2.718]

To be continuous, the piecewise function must have the same values when evaluated at the breakpoints in the domain from both the left and the right.

You should be able to get a system of equations to determine the coefficients A and B.