Graphing Rational Functions.ks-ia2 - Kuta Software
Graphing Rational Functions.ks-ia2 - Kuta Software
Graphing Rational Functions.ks-ia2 - Kuta Software
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<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 2<br />
<strong>Graphing</strong> <strong>Rational</strong> <strong>Functions</strong><br />
Name___________________________________<br />
Date________________<br />
Period____<br />
Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of<br />
each.<br />
<br />
x<br />
1) f ( x) =<br />
Discontinuities: , 2) f ( x) =<br />
x x<br />
Vertical Asym.: x, x<br />
x<br />
Discontinuities: <br />
Vertical Asym.: x<br />
Holes: None<br />
Holes: None<br />
Horz. Asym.: y<br />
Horz. Asym.: y<br />
X-intercepts: None<br />
X-intercepts: <br />
x x x<br />
x x<br />
3) f ( x) =<br />
Discontinuities: , 4) f ( x) =<br />
Discontinuities: , <br />
x x<br />
Vertical Asym.: x, x<br />
x x<br />
Vertical Asym.: x<br />
Holes: None<br />
Holes: x<br />
Horz. Asym.: None<br />
X-intercepts: , , <br />
Horz. Asym.: y <br />
X-intercepts: <br />
Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then<br />
sketch the graph.<br />
5)<br />
<br />
f ( x) = <br />
x x<br />
6)<br />
f ( x) =<br />
x<br />
x<br />
<br />
<br />
<br />
y<br />
Discontinuities: , <br />
Vertical Asym.: x, x<br />
Holes: None<br />
Horz. Asym.: y<br />
<br />
<br />
<br />
y<br />
Discontinuities: <br />
Vertical Asym.: x<br />
Holes: None<br />
Horz. Asym.: y <br />
<br />
<br />
<br />
<br />
x<br />
<br />
<br />
x<br />
<br />
<br />
<br />
<br />
<br />
<br />
7)<br />
f ( x) =<br />
x<br />
x<br />
8)<br />
f ( x) =<br />
x x<br />
x x<br />
<br />
<br />
<br />
y<br />
Discontinuities: <br />
Vertical Asym.: x<br />
Holes: None<br />
Horz. Asym.: y <br />
<br />
<br />
<br />
y<br />
Discontinuities: , <br />
Vertical Asym.: x<br />
Holes: x<br />
Horz. Asym.: None<br />
<br />
<br />
<br />
<br />
x<br />
<br />
<br />
x
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