Let f(x)= cases x^ 2 , & x<1 ax+b, & 1 x<4 2x-5, & x 4 cases For which ordered pair…

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

Problem

Let f(x)={x2,x<1ax+b,1≤x<42x−5,x≥4f(x)= \begin{cases} x^{2}, & x<1\\ ax+b, & 1\le x<4\\ 2x-5, & x\ge 4 \end{cases} For which ordered pair (a,b)(a,b) is ff continuous for all real numbers? (a) (34, 14)\left(\dfrac34,\,\dfrac14\right) (b) (23, −13)\left(\dfrac23,\,-\dfrac13\right) (c) (23, 13)\left(\dfrac23,\,\dfrac13\right) (d) (1, −1)\left(1,\,-1\right)

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