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Official 2023 Paper 1 · Q2

Paper 1Functions & graphs

The graphs of y=x2+5x+6y=x^2+5x+6 and y=mx−3y=mx-3, where mm is a constant, are plotted on the same set of axes.

Given that the graphs do not meet, what is the complete range of possible values of mm?

A−1<m<11-1<m<11
Bm<−1m<-1, m>11m>11
C−11<m<11-\sqrt{11}<m<\sqrt{11}
Dm<−11m<-\sqrt{11}, m>11m>\sqrt{11}
E−11<m<1-11<m<1
Fm<−11m<-11, m>1m>1

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