0580 P43 - Jun 2015 - Q3 - 15 marks
15330
\(f(x)=8/x^2+x/2,\quad x\ne0\).
| \(x\) | -5 | -4 | -3 | -2 | -1.5 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(f(x)\) | -2.2 | -1.5 | -0.6 | 2.8 | 4.3 | 2.5 | 2.4 | 2.4 | 2.8 |
(a) Complete the table. [3]
(b) Draw the graph for \(-5\le x\le-1.5\) and \(1.5\le x\le5\). [5]
(c) Solve f(x) = 0. [1]
(d) Draw a suitable line to solve f(x) = 1 − x. [3]
(e) Draw a tangent at (−3, −0.6) to estimate the gradient at x = −3. [3]
