Section 7.1 – Rational Expressions EXTENDED

Extension: The graph contains a hole at x = 0. Note: Cancelled and eliminated from denominator Extension: The graph contains a hole at x = 1 Note: Cancelled and eliminated Extension: The graph contains an asymptote at x = 0 Note: not eliminated

Extension: The graph contains an hole at x = -3 Note: Cancelled and eliminated Extension: The graph contains an asymptote at x = 3 Note: not eliminated

Extension: The graph contains a hole at x = -2 Note: cancelled and eliminated

Extension: The graph contains a hole at x = 2 Note: cancelled and eliminated Extension: The graph contains an asymptote at x = 4 and x = -4 Note: both not eliminated Extension: The graph contains a hole at x = ½ Note: cancelled and eliminated

Hole at x = -2, Asymptotes at x = 0 and x = 2 Hole at x = 0, x = 4, Asymptote at x = -4 Hole at x = -1/2 , x = -5, Asymptote at x = 1, x = -1

Hole at x = 1, Asymptotes at x = 0 and x = -2 Hole at x = 2, x = -3 Asymptotes at x = -2 and x = 4