Graphing Rational Functions 9-2 Practice Slide Show Graphing Rational Functions

Plot two points to the left and right of vertical asymptote 1. Graph y = 3_ x-1 +2 Since bottom has highest degree  0+2  horizonatal asymptote  y = 2 Vertical asymptote  x = 1 Sketch asymptotes Plot two points to the left and right of vertical asymptote (-2,1) (0,-1) (2,5) (4,3) Use asymptotes and points to plot the branches of hyperbola then give domain and range Domain {x:x≠1} Range {y:y≠2}

Plot two points to the left and right of vertical asymptote 2. Graph y = x-2 3x+3 Since degrees equal then the horizonatal asymptote  y = ⅓ Vertical asymptote 3x+3 = 0 x = -1 Sketch asymptotes Plot two points to the left and right of vertical asymptote (-3,5/6) (-2,1⅓) (0,-⅔) (2,0) Use asymptotes and points to plot the branches of hyperbola then give domain and range Domain {x:x≠-1} Range {y:y≠⅓}

RECAP What is the domain? What is the range? What are asymptotes? x-values What the graph does from left to right What is the range? y-values What the graph does up and down What are asymptotes? Bounds of a graph How do you find the vertical asymptote? Set the denominator equal to zero and solve Sketch the basic hyperbola graph?

HOMEWORK Page 543 4-9 all What does it say?