TMUA 2023 Paper 1 Q2 — Worked Solution

P1·Functions, Transformations & Graphs, Inequalities·4.0Official · 2023 · Q2

discriminantquadratic-inequalityline-meets-curve

The graphs of

y = x^{2} + 5 x + 6

and

y = m x - 3

, where

m

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

m

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