Sketch, on the same diagram, the graphs of $$$y=|x+2 k|$$$ and $$$y=|2 x-3 k|$$$, where $$$k$$$ is a positive constant. Give, in terms of $$$k$$$, the coordinates of the points where each graph meets the axes.

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_m20_qp_22 Year：2020 Question No：5(a)

Answer:

Draw two $\mathrm{V}$-shaped graphs with one vertex on negative $x$-axis and one vertex on positive $x$-axis
Draw correct graphs related correctly to each other
State correct coordinates $-2 k, 2 k, \frac{3}{2} k, 3 k$

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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Sketch, on the same diagram, the graphs of $$\(y=|x+2 k|\)$$ and $$\(y=|2 x-3 k|\)$$, where $$\(k\)$$ is a positive constant. Give, in terms of $$\(k\)$$, the coordinates of the points where each graph meets the axes.

Answer:

Knowledge points:

Solution:

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