The curve G has equation y = 3 – -, x # 1 (a) Find an equation of the asymptote to G which is parallel to (i) the x-axis, (ii) the y-axis. (b) Find the coordinates of the point where G crosses (i) the x-axis, (ii) the y-axis. (c) Sketch G, showing clearly the asymptotes and the coordinates of the points where the curve crosses the coordinate axes. A straight line / intersects G at the points P and Q. The x-coordinate of P and the x-coordinate of Q are roots of the equation 2x – 3 = x - 1 (d) Find an equation of l.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q5:
The curve G has equation y = 3 – –
,x ±1
x -1
(a) Find an equation of the asymptote to G which is parallel to
(i) the x-axis,
(ii) the y-axis.
(b) Find the coordinates of the point where G crosses
(i) the x-axis,
(ii) the y-axis.
(c) Sketch G, showing clearly the asymptotes and the coordinates of the points where the
curve crosses the coordinate axes.
A straight line I intersects G at the points P and Q. The x-coordinate of P and the
x-coordinate of Q are roots of the equation 2x – 3 = -
x - 1
(d) Find an equation of I.
Transcribed Image Text:Q5: The curve G has equation y = 3 – – ,x ±1 x -1 (a) Find an equation of the asymptote to G which is parallel to (i) the x-axis, (ii) the y-axis. (b) Find the coordinates of the point where G crosses (i) the x-axis, (ii) the y-axis. (c) Sketch G, showing clearly the asymptotes and the coordinates of the points where the curve crosses the coordinate axes. A straight line I intersects G at the points P and Q. The x-coordinate of P and the x-coordinate of Q are roots of the equation 2x – 3 = - x - 1 (d) Find an equation of I.
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