Example 3
Write an equation of the form 𝑓𝑥=𝑎sin𝑏𝑥+𝑐+𝑑 that uses a negative value of 𝑎.
Over the interval 45<𝑥<50, 𝑓𝑥 is...
(A) Positive and Increasing
(B) Positive and Decreasing
(C) Negative and Increasing
(D) Negative and Decreasing
Over the interval 45<𝑥<50, is the graph of 𝑓𝑥 concave up or concave down? Over that interval, is the rate of change of 𝑓𝑥 increasing or decreasing?