Let and on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=\sin x

and

g(x)=\dfrac{x}{2}

on the interval

(0,4)

. How many distinct real numbers in

(0,4)

satisfy

f(x)=g(x)

? Justify your answer with sign considerations.