Sketch, on a single diagram, the graphs of $$\(y=\left|\frac{1}{2} x-a\right|\)$$ and $$\(y=\frac{3}{2} x-\frac{1}{2} a\)$$, where $$\(a\)$$ is a positive constant.

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_22 Year:2020 Question No:3(a)

Answer:

Draw V-shaped graph with vertex on positive \(x\)-axis
Draw straight line graph correctly positioned with greater gradient

Knowledge points:

2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)

Solution:

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