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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.3 The Graph of a Rational Function

Section 4.3 the graph of a rational function

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Page 1: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Section 4.3

The Graph of a Rational Function

Page 2: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 3: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

The x-intercepts are the real zeros of the numerator that are in the domain of R. x – 1 = 0 so x = 1 is the only x-intercept.

Page 4: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 5: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 6: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 7: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Figure 32(b)

Page 8: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 9: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 10: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 11: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 12: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 13: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 14: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Figure 34(b)

Page 15: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Figure 34(c)

Page 16: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 17: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 18: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 19: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Figure 40(a)

Page 20: Section 4.3 the graph of a rational function

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Figure 40(b)