Question 1 - A-Level Maths

Exam Board	Edexcel
Module	FP1 (Further Pure Mathematics 1)
Year	2011
Session	June
Topic	Sign Change & Interval Methods
Type	Pure Interval Bisection Only

1. $$f ( x ) = 3 ^ { x } + 3 x - 7$$

Show that the equation $\mathrm { f } ( x ) = 0$ has a root $\alpha$ between $x = 1$ and $x = 2$.
Starting with the interval $[ 1,2 ]$, use interval bisection twice to find an interval of width 0.25 which contains $\alpha$.