Let f(x)= cases 3x+1, & x<2

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)={3x+1,x<2,cx2−5,x≥2.f(x)=\begin{cases}3x+1, & x<2,\\ cx^2-5, & x\ge 2.\end{cases} Determine the value of cc that makes ff continuous at x=2x=2. (a) 12\displaystyle \frac12 (b) 33 (c) 34\displaystyle \frac34 (d) 66

Related theory

Browse the problem library