Graphing Rational Functions through Transformations

What is the vertical asymptote of the function f(x) = 1/x?

• x = 0

• x = 1

• y = 0

• y = 1

Tags

CCSS.HSF-IF.C.7D

How do you determine the horizontal asymptote of f(x) = 1/x?

• By finding the x-intercept

• By setting the denominator equal to zero

• By comparing the degrees of the numerator and denominator

• By setting the numerator equal to zero

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the function f(x) = 1/x?

• x = 1

• y = 0

• x = 0

• y = 1

Tags

CCSS.HSF-IF.C.7D

Which x-values are used to plot points for the function f(x) = 1/x?

• -1, 0, 1

• -2, -1, 1, 2

• -2, -1, 0, 1, 2

• -3, -2, -1, 0, 1, 2, 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-value when x = -2 for the function f(x) = 1/x?

• -1/2

• -2

• 1/2

• 2

Tags

CCSS.HSF.IF.A.2

What happens to the graph of f(x) = 1/x as it approaches the vertical asymptote?

• It crosses the asymptote

• It touches the asymptote

• It approaches but never touches the asymptote

• It moves away from the asymptote

Tags

CCSS.HSF-IF.C.7D

What is the horizontal shift for the transformation g(x) = 1/(x+2) - 1?

• Right 2 units

• Down 2 units

• Left 2 units

• Up 2 units

Tags

CCSS.HSF.BF.B.3

What is the vertical shift for the transformation g(x) = 1/(x+2) - 1?

• Right 1 unit

• Left 1 unit

• Up 1 unit

• Down 1 unit

Tags

CCSS.HSF.BF.B.3

Where is the new vertical asymptote for the function g(x) = 1/(x+2) - 1?

• y = 0

• x = 0

• y = -2

• x = -2

Tags

CCSS.HSF-IF.C.7D

Where is the new horizontal asymptote for the function g(x) = 1/(x+2) - 1?

• y = 0

• y = -1

• x = -1

• x = 0

Tags

CCSS.HSF-IF.C.7D