0580 P43 - Jun 2012 - Q7 - 14 marks
16056
\(f(x)=2^x\).
| x | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
|---|---|---|---|---|---|---|---|---|---|
| f(x) | … | 1.4 | 2 | 2.8 | 4 | 5.7 | 8 | … | … |
(a) Complete the table. [3]
(b) Draw y = f(x) for \(0\le x\le4\). [4]
(c) Use the graph to solve \(2^x=5\). [1]
(d) Draw a suitable straight line to solve \(2^x=3x\). [3]
(e) Draw a suitable tangent to find the point where the gradient is 3. [3]
