Moderate -0.8 This is a straightforward application of linear interpolation formula using given interval endpoints. It requires only substitution into a standard formula with no problem-solving or iteration needed, making it easier than average despite being from FP1.
4.
$$f ( x ) = 2 ^ { x } - 6 x$$
The equation \(\mathrm { f } ( x ) = 0\) has a root \(\alpha\) in the interval [4,5].
Using the end points of this interval find, by linear interpolation, an approximation to \(\alpha\).
4.
$$f ( x ) = 2 ^ { x } - 6 x$$
The equation $\mathrm { f } ( x ) = 0$ has a root $\alpha$ in the interval [4,5].
Using the end points of this interval find, by linear interpolation, an approximation to $\alpha$.\\
\hfill \mbox{\textit{Edexcel FP1 Q4 [3]}}