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

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

Problem

Let

f(x)= \begin{cases} kx+2,& x<3,\\ x^{2}-3k,& x\ge 3. \end{cases}

Determine the value of

k

that makes

f

continuous on the real line. (a)

\tfrac{7}{4}

(b)

\tfrac{2}{3}

(c)

\tfrac{7}{6}

(d)

1

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