8.3b Graphing Rational Functions WS 2018
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PreAP Algebra II<br />
Name:____________________________<br />
<strong>8.3b</strong> <strong>Graphing</strong> <strong>Rational</strong> <strong>Functions</strong> <strong>WS</strong> Hour__________<br />
Graph each function. Determine the following:<br />
a) horizontal and vertical asymptotes and holes<br />
b) domain and range<br />
c) x and y intercepts<br />
d) end behavior<br />
1. f x = − !<br />
!<br />
+ 2 2. f x = + 3<br />
!!! !!!<br />
Zeros (x-‐intercepts) <br />
Zeros (x-‐intercepts) <br />
y-‐intercept <br />
y-‐intercept <br />
Hole(s) <br />
Hole(s) <br />
Vertical Asymptote(s) <br />
Vertical Asymptote(s) <br />
Horizontal Asymptote <br />
Horizontal Asymptote <br />
D: <br />
D: <br />
Domain and Range <br />
R: <br />
Domain and Range <br />
R: <br />
End Behavior <br />
End Behavior
3. f x = !!!!!<br />
! ! !!!!!<br />
4. f x = !<br />
!!!!"<br />
Zeros (x-‐intercepts) <br />
Zeros (x-‐intercepts) <br />
y-‐intercept <br />
y-‐intercept <br />
Hole(s) <br />
Hole(s) <br />
Vertical Asymptote(s) <br />
Vertical Asymptote(s) <br />
Horizontal Asymptote <br />
Horizontal Asymptote <br />
D: <br />
D: <br />
Domain and Range <br />
R: <br />
Domain and Range <br />
R: <br />
End Behavior <br />
End Behavior
5. f x =<br />
! ! !!<br />
!!! ! !!"!!!"<br />
6. f x = !! !!!!!<br />
!!! ! !!!<br />
Zeros (x-‐intercepts) <br />
Zeros (x-‐intercepts) <br />
y-‐intercept <br />
y-‐intercept <br />
Hole(s) <br />
Hole(s) <br />
Vertical Asymptote(s) <br />
Vertical Asymptote(s) <br />
Horizontal Asymptote <br />
Horizontal Asymptote <br />
D: <br />
D: <br />
Domain and Range <br />
R: <br />
Domain and Range <br />
R: <br />
End Behavior <br />
End Behavior
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