Consider h(x)= cases x^ 2 +a,& x<2 +3,& x 2 cases

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider

h(x)=\begin{cases}x^{2}+a,& x<2\\bx+3,& x\ge 2\end{cases}.

Write the equality that the constants

a

and

b

must satisfy for

h(x)

to be continuous at

x=2

(do not solve for

a

and

b