Function f is f(x) = A sin ( π/2 x) + B. The graph includes points (1,3) and (5,3) which are maximum points of the graph. Show that A= 2, and find the value of B and solve the equation f(x) = 2 for 0

Question

Function f is f(x) = A sin ( π/2 x) + B. The graph includes points (1,3) and (5,3) which are maximum points of the graph. Show that A= 2, and find the value of B and solve the equation f(x) = 2 for 0 <x < 5

anonymous · Answer

make a system of two equations
3= A sin ($$pi$$/2 * 1) + B and 3= A sin A sin ($$pi$$/2 * 5) + B

anonymous · Answer

oops! sorry if that looks really weird!

4meisu · Answer

no its fine :) thanks. how would i find b though?