17M.1.AHL.TZ1.H_6

pestleMathematicsAIHLPaper 117M· sl-2-2-functions-notation-domain-range-and-inverse-as-reflectionsource ↗

Consider the graphs of $y = \left| x \right|$ and $y = - \left| x \right| + b$ , where $b \in {\mathbb{Z}^ + }$ .

Sketch the graphs on the same set of axes.

[2]

Given that the graphs enclose a region of area 18 square units, find the value of b.

[3]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

M17/5/MATHL/HP1/ENG/TZ1/A6.a/M

graphs sketched correctly (condone missing b) A1A1

[2 marks]

$\frac{{{b^2}}}{2} = 18$ (M1)A1

$b = 6$ A1

[3 marks]

Examiners’ report

[N/A]