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|.

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|.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 54PS

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Question

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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