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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
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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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.
Transcribed Image Text: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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