Higher June 2019 Paper 5 Q13
13 Shirley is asked to sketch a graph of \(y = 5^x\) for \(x \geqslant 0\).
She produces the following.
The graph has two errors.
How should they be corrected? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| It should be a curve with increasing gradient oe It should go through (0, 1) | 1 1 | Accept alternate forms e.g. correct sketch See AG Incorrect statements treat as choice. Incomplete statements ignore | |
Appendix: exemplar responses for Q13
| Response | Mark | |
|---|---|---|
| 1 | It should be a curve It should start at 1 not 0 | 0 0 |
| 2 | It should start at 1 on the \(y\) – axis It should be an exponential curve | 1 0 |
| 3 | Correct sketch shown of curve passing through 1 on \(y\) – axis | 2 |
| 4 | It should not start at 0 It should curve up | 0 1 |
| 5 | 5^0 = 1 not 0 so y -values should increase by 1 Line should curve sharply upward | 1 1 |
| 6 | Put numbers on axes Make gradient steeper | 0 0 |
| 7 | Graph should be steeper not directly proportional | 0 |
| 8 | As increases, y increases even more The graph should start above 0 and \(5^0 = 1\) BOD above implies starts at \(y = 1\) on y axis | 0 1 |