Let h(x)= cases kx+2, & x<3

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

Problem

Let h(x)={kx+2,x<3,x2−k,x≥3.h(x)=\begin{cases} kx+2, & x<3,\\ x^{2}-k, & x\ge 3. \end{cases} Determine the value of the constant kk for which hh is continuous on the entire real line.

Related theory

Browse the problem library