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1.7 Rational Functions Name and Their Properties Practice Set 1 Date Period Problems 1 -4, for each rational function below, simplify in factored form, identify the domain, the zero (s), and the y-intercept. 1. f(x) = 2x2 -2x x2 - 1 2x ( X - 1) 2. g(x) = x+x-12 (X+17 (x-1) x2+6x+8 -1 1 1 Domain: [-DADUC-LIVCL. OO) Domain: X = 0 , 1 Zero (s): y-intercept y-intercept: 3. h(x) = *-2x-15 4. k(x) = *-x-6 x 2 - 9 x2+ 4x + 3 Domain: Domain: Zero (s): Zero (s): y-intercept: y-intercept: Problems 5-8, Use the graph of each function to complete the arrow notation statements. 5 . f (x ) = x - 3 x2-5x+6 There is a hole in the graph at: 10 ty : lim f(x) = x - - 00 ...28+ .. - 4... - lim f (x) = - . .. ..--4+ lim f (x) = ..(3, 1) ..... .. ..- - * - 2 - lim, f(x) = 6 . -4... ..-2 ...... ...... 6.......8. x-2+ lim f (x) = do.. . .. . ... . J... .. x-3 Hard .. . too.d... J . . lim f (x) = x-3+ ...-10+ Domain