A-LevelMathematicsFunctions9709/22 · Feb/Mar 2024 · Q24 Marks
Sketch the graph of y = |3x-7|, stating the coordinates of the points where the graph meets the axes.
- (a)Sketch the graph of y = |3x-7|, stating the coordinates of the points where the graph meets the axes.[2]
- (b)Hence find the set of values of the constant k for which the equation |3x-7|= k(x-4) has exactly two real roots.[2]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2024). The mark or mark type is shown in brackets.
- [B1] (a) Draw V-shaped graph with vertex on positive x-axis
- [B1] (a) State (7/3, 0) and (0, 7) [Allow if only 7/3 and 7 shown on relevant axes.]
- [B1] (b) State or imply that gradient of left-hand part of graph is -3
- [B1] (b) State -3<k<0 [Using < and not ≤]
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