Higher November 2019 Paper 3 Q14
14 A graph has equation \(\quad y = x^3 + a \quad\) where \(a\) is an integer.
The graph passes through the point (3, 29)
Draw the graph for values of \(x\) from −3 to 3 [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(y = x^3 + 2\) or \(a = 2\) | M1 | implied by at least two correct points identified or plotted from (−3, −25), (−2, −6), (−1, 1), (0, 2), (1, 3), (2, 10) |
| At least five correct points identified or plotted for their value of \(a\) | M1 | correct points are (−3, −25), (−2, −6), (−1, 1), (0, 2), (1, 3), (2, 10) may be seen in a table or in working |
| Seven correct points plotted and joined with a smooth curve | A1 | \(\pm\dfrac{1}{2}\) square SC1 fully correct curve for \(y = x^3\) for \(-3 \le x \le 2\) |