Consider the function h(x)= cases ax+5,& x<1

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

Problem

Consider the function

h(x)= \begin{cases} ax+5,& x<1,\\ bx^{2},& 1\le x<4,\\ 7x-3,& x\ge 4 \end{cases}

Find the values of

a

and

b

that ensure

h

is continuous for all real numbers.