Moderate -0.8 This is a straightforward application of the mean value formula for a function: integrate f(x) over the interval and divide by the interval length. The integration of x² - 1 is elementary, and the arithmetic is simple. Being worth only 1 mark with multiple choice answers confirms it's a routine calculation requiring no problem-solving or insight, making it easier than average.
The function \(f(x) = x^2 - 1\)
Find the mean value of \(f(x)\) from \(x = -0.5\) to \(x = 1.7\)
Give your answer to three significant figures.
Circle your answer.
[1 mark]
\(-0.521\) \quad \(-0.434\) \quad \(-0.237\) \quad \(0.786\)
The function $f(x) = x^2 - 1$
Find the mean value of $f(x)$ from $x = -0.5$ to $x = 1.7$
Give your answer to three significant figures.
Circle your answer.
[1 mark]
$-0.521$ \quad $-0.434$ \quad $-0.237$ \quad $0.786$
\hfill \mbox{\textit{AQA Further Paper 1 2019 Q3 [1]}}