Example 2
Write an equation of the form 𝑓𝑥=𝑎sin𝑏𝑥+𝑐+𝑑 that uses a negative value of 𝑎.
Over the interval 31<𝑥<35, is the graph of 𝑓𝑥 concave up or concave down? Over that interval, is the rate of change of 𝑓𝑥 increasing or decreasing?
Find an expression for all 𝑥-values at which this graph has maxima.