\fI can graph rational functions by identifying zeros and asymptotes (F-IF.7d) Score: /19 1. Graph the function. Include the y-intercept, x 2. Graph the function. Include the y-intercept, x intercept, vertical asymptote, and horizontal intercept, vertical asymptote, and horizontal asymptote in your graph. asymptote in your graph. 2x - 8 x2 - 2x - 3 f (x) = f ( x ) = * x2 - 9 x - 2 ty N D -6 -4 -2 2 4 6 -6 -4 1-2 0 2 4 6 2 2 -4 4 6 6( x + 6)(x+4) 1. Which of the following properties does the graph f (x) = have? (x - 6) (x+6) Circle all that apply. A) x - intercept at x = - 4 B) hole at ( - 6, 0) C) vertical asymptote at x = - 6 D) y-intercept at - Identify the asymptotes, and x-intercepts of the rational function. -3x + 8 f ( x ) = - 6x2 + 4x A) X-intercept: B) Vertical Asymptotes: X= C) Horizontal Asymptotes: _y=\f5) f ( x ) = - 2x +6 x- x- 12 6) /(x) =3 x - 1 L HA kin All - 1 X = Y - i 7) f ( x) = x -1 -2x - 2 8 ) f (x ) =- *+ 16 * + 4x Ay 3 ) x3. Which function best describes the graph below? Circle your answer. a) x): :2 b) f(X)= :1: c) f(x)=::: d) f(x)=::r: 4. The graph of the function is given below. Determine where the hole is and plot it on the graph below. Plot the asymptote-s that may exist. Show work for credit. xzZx3 x21 f(x) = 5. Determine the domain and range of the graph below: a) Domain: b] Range: a] Explain when a rational function does not have a x-intercept. b) Explain when a rational function does not have a horizontal asymptote. For each function, identify the holes, intercepts, horizontal asymptote, and domain. 1) f (x ) = 2x+ 2 x+2 2 ) f (x ) = Ay -x - 4 3 ) f (x )= * - x - 2 x2 + 2x - 8 4) f (x) = *- 3 Ay