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Exam-Style Questions on Modulus Graph

Problems on Modulus Graph adapted from questions set in previous Mathematics exams.


Absolute Graph

The diagram on the right shows a sketch of part of the graph:

$$ y = f(x) \quad \text{where} \quad f(x) = 3 | 5-2x | + 4 $$


(a) State the range of \(f\).


(b) Solve the equation \(f(x) = \frac{x}{3} + 20 \).


(c) Given that the equation \(f(x) = k\), where \(k\) is a constant, has two distinct roots, state the set of possible values for k.






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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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