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

2. 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}

3. Plot two points to the left and right of vertical asymptote
2. Graph y =
x x+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}

4. 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?

5. HOMEWORK
Page all
What does it say?