| Date | May Specimen | Marks available | 1 | Reference code | SPM.1.sl.TZ0.7 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Write down | Question number | 7 | Adapted from | N/A |
Question
On the grid below sketch the graph of the function \(f(x) = 2{(1.6)^x}\) for the domain \(0 \leqslant x \leqslant 3\) .
[2]
a.
Write down the coordinates of the \(y\)-intercept of the graph of \(y = f(x)\) .
[1]
b.
On the grid draw the graph of the function \(g(x) = 5 - 2x\) for the domain \(0 \leqslant x \leqslant 3\).
[2]
c.
Use your graphic display calculator to solve \(f(x) = g(x)\) .
[1]
d.
Markscheme
Note: Award (A1) correct endpoints, (A1) for smooth curve. (A1)(A1) (C2)
a.
\((0{\text{, }}2)\) (A1) (C1)
Note: Accept \(x = 0\), \(y = 2\)
b.
Straight line in the given domain (A1)
Axes intercepts in the correct positions (A1) (C2)
c.
\(x = 0.943\) (\(0.94259 \ldots \)) (A1) (C1)
Note: Award (A0) if \(y\)-coordinate given.
d.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.
Syllabus sections
Topic 6 - Mathematical models » 6.7 » Use of a GDC to solve equations involving combinations of the functions above.
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