Find the values of and such that the function defined by f(x)= cases 5, & if x 2 a…

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

Problem

30. Find the values of

a

and

b

such that the function defined by

f(x)= \begin{cases}5, & \text { if } x \leq 2 \\ a x+b, & \text { if } 2<x<10 \\ 21, & \text { if } x \geq 10\end{cases}

is a continuous function.