The diagram shows the graph of y = |2x– 3|. (a) State the coordinates of the points of intersection with the axes. (b) Given that the graphs of y = |2x- 3| and y= ax+2 have two distinct points of intersection, determine (1) the set of possible values of a, (ii) the x-coordinates of the points of intersection of these graphs, giving your answers in terms of a.

The diagram shows the graph of y = |2x– 3|. (a) State the coordinates of the points of intersection with the axes. (b) Given that the graphs of y = |2x- 3| and y= ax+2 have two distinct points of intersection, determine (1) the set of possible values of a, (ii) the x-coordinates of the points of intersection of these graphs, giving your answers in terms of a.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Please help me with this question, specifically part b (i) and (ii).

Thank you so much.

y
The diagram shows the graph of y = |2x – 3|.
(a) State the coordinates of the points of intersection with the axes.
(b) Given that the graphs of y = |2x-3| and y= ax+2 have two distinct points of intersection,
determine
(i) the set of possible values of a,
(ii) the x-coordinates of the points of intersection of these graphs, giving your answers in
terms of a.

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