Question 0111b

Equations and Inequalities
2011 Paper 1 Question 2 Variant

Question

It is given that f(x)=ax2+bx+c,{f(x)=ax^2+bx+c,} where a,b{a,b} and c{c} are constants.
(i)
Given that the curve with equation y=f(x){y=f(x)} passes through the points with coordinates (1.1,1.1),{(-1.1, -1.1),} (0.8,1.9){(0.8, 1.9)} and (3.7,19.8),{(3.7, 19.8),} find the values of a,b{a,b} and c.{c.} Give your answers correct to 3 decimal places.
[3]
(ii)
Find the set of values of x{x} for which f(x){f(x)} is an increasing function.
[2]

Answer