Higher November 2023 Paper 2 Q27
27 \(\mathrm{g}(x) = a \times b^x \quad\) where \(a\) and \(b\) are constants.
\(\mathrm{g}(0) = 8 \quad\) and \(\quad \mathrm{g}(3) = 343\)
Work out the value of \(\mathrm{g}(1)\) [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(8 = a \times b^0\) or \(a = 8\) | M1 | oe |
| \(343 =\) their \(8 \times b^3\) | M1dep | oe |
| \(\sqrt[3]{\dfrac{343}{\text{their } 8}}\) or \(b = \dfrac{7}{2}\) | M1dep | oe |
| 28 | A1 |
Additional guidance
The first M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts