3. Consider the following graphs of rational functions. Write down the horizontal and vertical asymptotes, zeros, and y-intercept, as well as any holes (if applicable). Use this information to find a function R(r) for each graph. Note some graphs have the vertical and horizontal asymptotes marked for you, but the others are not marked. b. 2 123456 10 2 0 2 -10 -12 2

The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. 1. (a) Write the equations for all vertical and horizontal asymptotes. Enter the eqưations using the "and" button as necessary. Select "None" as necessary. O=0 DandO (0,0) None Vertical asymptote(s): [0,0) (0,0) [0,0) Horizontal asymptote(s): 00 (b) Find the domain and range of f. -00 Write each answer as an interval or union of intervals. Domain: Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0 2 03 00 ONone y-intercept(s): 00 03 0 2 O None

2. Sketch the graph and all asymptotes of the function x²x+1 x - 1 Y =

The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. 6- (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0-1 0-2 0-4 O None DandO (0,0) None y-intercept(s): 0-4 0-2 O-1 O None [0,0) (0,0) (0,0) (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. DUO 00 Vertical asymptote(s): - 00 Horizontal asymptote(s): (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain:| Range: Olo