Find the relationship between and so that the function defined by f(x)= cases a x+1,…

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

Problem

17. Find the relationship between

a

and

b

so that the function

f

defined by

f(x)= \begin{cases}a x+1, & \text { if } x \leq 3 \\ b x+3, & \text { if } x>3\end{cases}

is continuous at

x=3