Question 0111b

Equations and Inequalities

2011 Paper 1 Question 2 Variant

Question

It is given that

{f(x)=ax^2+bx+c,}

where

{a,b}

and

{c}

are constants.

(i)

Given that the curve with equation

{y=f(x)}

passes through the points with coordinates

{(-0.9, -2.9),}

{(2.2, 3.5)}

and

{(3.1, 6.5),}

find the values of

{a,b}

and

{c.}

Give your answers correct to 3 decimal places.

[3]

(ii)

Find the set of values of

{x}

for which

{f(x)}

is a decreasing function.

[2]

Answer

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