O-LevelAdditional MathematicsFunctions4037/21 · May/June 2015 · Q25 Marks
The diagram shows the graph of y = |f(x)| passing through (0, 4) and touching the x-axis at (2, 0). Given that the graph of y = f(x)is a straight line, write down the two possible expressions for f(x). [Figure 2.a]
- (a)The diagram shows the graph of y = |f(x)| passing through (0, 4) and touching the x-axis at (2, 0). Given that the graph of y = f(x)is a straight line, write down the two possible expressions for f(x). [Figure 2.a][2]
- (b)On the axes below, sketch the graph of y = e⁻ˣ +3, stating the coordinates of any point of intersection with the coordinate axes.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [B1,B1] [f(x)=]2x-4 and [f(x)=]-2x+4 Condone y =....
- [B1] correct shape;
- [B1] y intercept marked or seen nearby;
- [B1] intent to tend to y = 3 (i.e. not tending to or cutting x-axis)
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