Higher June 2018 Paper 3 Q14
14 Draw the graph of \(\quad y = 0.8^x \quad\) for values of \(x\) from 0 to 6 [3 marks]
| \(x\) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| \(y\) |
| Answer | Mark | Comments |
|---|---|---|
| At least 4 of (\(x = 0\)) \(\;y = 1\) (\(x = 1\)) \(\;y = 0.8\) or \(\dfrac{4}{5}\) (\(x = 2\)) \(\;y = 0.64\) or \(\dfrac{16}{25}\) (\(x = 3\)) \(\;y = [0.51, 0.512]\) or \(\dfrac{64}{125}\) (\(x = 4\)) \(\;y = [0.40, 0.41]\) or \(\dfrac{256}{625}\) (\(x = 5\)) \(\;y = [0.32, 0.33]\) or \(\dfrac{1024}{3125}\) (\(x = 6\)) \(\;y = [0.26, 0.262144]\) or \(\dfrac{4096}{15\,625}\) | M1 | oe May be seen in the table or a list or implied from their graph |
| 6 or 7 correct points plotted | A1 | tolerance of \(\pm\dfrac{1}{2}\) small square |
| Fully correct smooth curve through all seven correct points | A1 | tolerance of \(\pm\dfrac{1}{2}\) small square |
Additional guidance
| Ignore extra points plotted | |
| Ignore any curve drawn for \(x \lt 0\) or \(x \gt 6\) | |
| Curve passing through all correct points within tolerance | M1A1A1 |
| Ruled straight lines | A0 |