tmua 2020 Q8

tmua · Uk · paper1 1 marks Stationary points and optimisation Determine parameters from given extremum conditions

The function f is defined for all real $x$ as
$$\mathrm{f}(x) = (p-x)(x+2)$$
Find the complete set of values of $p$ for which the maximum value of $\mathrm{f}(x)$ is less than 4.
A $-2 - 4\sqrt{2} < p < -2 + 4\sqrt{2}$
B $-2 - 2\sqrt{2} < p < -2 + 2\sqrt{2}$
C $-2\sqrt{5} < p < 2\sqrt{5}$
D $-6 < p < 2$
E $-4 < p < 0$
F $-2 < p < 2$

..... 10

The function f is defined for all real $x$ as

$$\mathrm{f}(x) = (p-x)(x+2)$$

Find the complete set of values of $p$ for which the maximum value of $\mathrm{f}(x)$ is less than 4.

A $-2 - 4\sqrt{2} < p < -2 + 4\sqrt{2}$

B $-2 - 2\sqrt{2} < p < -2 + 2\sqrt{2}$

C $-2\sqrt{5} < p < 2\sqrt{5}$

D $-6 < p < 2$

E $-4 < p < 0$

F $-2 < p < 2$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20