Rational Functions Basic

Which asymptote(s) are determined by looking only at the denominator?

• vertical

• horizontal

• both

• none

State the Domain and Range.

• D:  x ≠ 5 , and  R:  y ≠ 7

• D:  x ≠ -5 , and  R:  y ≠ 7

• D:  x ≠ 5 , and  R:  y ≠ -7

• D:  x ≠ 7 , and  R:  y ≠ 5

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

Find the domain of the function. f(x)=\frac{x}{2x+4}

• x cannot equal to 2

• x cannot equal to 1/2

• x cannot equal to -2

• All real numbers

What type of graph is this?

• Rational Function

• Logarithmic Function

• Exponential Function

• Double Quadratic Function

Which statement is TRUE?

• As x→∞

  y→ ∞

• As x→∞

  y→ -∞

• As x→0

  y→ 0

• As x→∞

  y→ 0

What is the domain of the function?

What is the range of the function?

Write the equation for the graph.

What are the asymptotes?

• x= -1

  y = -3

• x=1

  y = -3

• x= -1

  y =3

• x=1

  y=3