Given that $\mathrm{f}(x) = x^2 - ax + 3$, where $a$ is a constant, find the range of

Question

Given that $\mathrm{f}(x) = x^2 - ax + 3$, where $a$ is a constant, find the range of values of $a$ for which $f(x) > x - 1$, for all real values of $x$,[4] find the value(s) of $a$ for which the line $y = a + 4$ is a tangent to the curve $y = f(x)$.[3]

Accepted Answer

(a) $ -5 < a < 3$ (b) $a = -2$

2024 FMSS PRELIMS P2 Q4

2024 FMSS PRELIMS P2 Q4