Target Mathematics

1.35: Curve with asymptote

4PM1/1/June/2018 — Question 6 · 7 marks

The curve CC has equation
y=2x−4x−3,x≠3y=\dfrac{2x-4}{x-3},\qquad x\ne3
(a) Write down an equation of the asymptote to CC which is parallel to
(i) the xx-axis, (ii) the yy-axis. (2)
(b) Find the coordinates of the point where CC crosses
(i) the xx-axis, (ii) the yy-axis. (2)
(c) Sketch CC, showing clearly the asymptotes and the coordinates of the points where CC crosses the coordinate axes. (3)