5. (a) In the space provided, sketch the graph of \(y = 3 ^ { x } , x \in \mathbb { R }\), showing the coordinates of the point at which the graph meets the \(y\)-axis.
(b) Complete the table, giving the values of \(3 ^ { x }\) to 3 decimal places.
| \(x\) | 0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 |
| \(3 ^ { x }\) | | 1.246 | 1.552 | | | 3 |
(c) Use the trapezium rule, with all the values from your table, to find an approximation for the value of \(\int _ { 0 } ^ { 1 } 3 ^ { x } \mathrm {~d} x\).