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Juan Set 1 Paper 1 · Q14

Paper 1Functions & graphs

Let aa and bb be real numbers. The function ff, defined on the set of real numbers by

f(x)={x2−ax+6,x≤a,2x+a,a<x≤b,11−2x+b,x>bf(x)=\begin{cases} x^2-ax+6,&x\le a,\\ 2x+a,&a<x\le b,\\ 11-2x+b,&x>b \end{cases}

is known to be continuous on its domain.

What is the product a⋅ba\cdot b?

A4
B6
C8
D10
E12

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