Question
Asked Jan 15, 2020
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a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1.
b Given that -1 < m < 1, find the relationship between b and m so that the two graphs do not
intersect.
c Generalise these results for y = |px – q|.
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a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1. b Given that -1 < m < 1, find the relationship between b and m so that the two graphs do not intersect. c Generalise these results for y = |px – q|.

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Expert Answer

Step 1

Given,

y = mx + c

For m > 1

Take  m = 2 > 1,

Step 2

Sketch the graph of y = 2x + c and y = |x + 1 | in the following.

Advanced Math homework question answer, step 2, image 1
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Step 3

This shows that, both functions are intersect at (-1.333,0.333).

For m < - 1

Take  m = - 2 < - 1,

Sketch the graph of y...

Advanced Math homework question answer, step 3, image 1
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