The diagram shows a piecewise linear function $f(x)$ defined by the points A(0,0), B(4,8), C(6,8) and D(8,0) connected consecutively. Determine (i) the maximum value of $f$ and the smallest $x$ at which it occurs, and (ii) the total area enclosed between the graph of $f$ and the $x$-axis.

Question

Accepted Answer

Maximum value = 8 at x = 4; total area = 40

Neco 2021 Mathematics Question 24

The diagram shows a piecewise linear function \(f(x)\) defined by the points A(0,0), B(4,8), C(6,8) and D(8,0) connected consecutively. Determine (i) the maximum value of \(f\) and the smallest \(x\) at which it occurs, and (ii) the total area enclosed between the graph of \(f\) and the \(x\)-axis.

Answer Options

About This Question

Master the Exam!