1.

Identify the open interval on which the functioncos (4x/3) is increasing or decreasing (0 < x < 2π).

Answer» The function cos (4x/3) is increasing in the domain3π/4 < x < 3π/2 and decreasing in the domain(0 < x < 3π/4)∪ (3π/2< x < 2π).

Increasing functions are those that continuously increase in a particular domain. For example, y = xis an increasing function. Decreasing functions are those that continuously decreasesin a particular domain. For example, y = - xis a decreasing function.



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