Graphs Rational Functions

Choose the best equation for the graph.

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Tags

CCSS.HSF-IF.C.7D

• The degree of the numerator is greater than the degree of the denominator. "Top-heavy"

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. "Bottom-heavy"

• Rational functions can never have horizontal asymptotes at y=0.

Tags

CCSS.HSF-IF.C.7D

• Vertical asymptote at x = 1

• Vertical asymptote at x=0

• Horizontal asymptote at y = 1/2

• Hole at (-1, 2)

• Hole at (1, -1)

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes of this graph?

Write the equation for the graph.

Tags

CCSS.HSF-IF.C.7D

• None
• x = 2
• x = 3
• x = 4

Tags

CCSS.HSF-IF.C.7D

Where does a hole in the graph occur?

• x= 4

• x= -4

• x= 5

• x= -5

Tags

CCSS.HSF-IF.C.7D

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0

Tags

CCSS.HSF-IF.C.7D

Which of the following could be the equation of f(x)? (Hint: Focus on the hole, zero, and vertical asymptote.)

Tags

CCSS.HSF-IF.C.7D

Which of the following could be the equation of f(x)? (Hint: Focus on the hole, zero, and vertical asymptote.)

Tags

CCSS.HSF-IF.C.7D