Chapter 11 Rational Expressions and Functions

Define an excluded value.

• Any value of a variable that result in a numerator of 0 must be excluded from the domain of that variable.

• Any value of a variable that result in a numerator of 0 must be excluded from the range of that variable.

• Any values of a variable that result in a denominator of 0 must be excluded from the domain of that variable.

• Any values of a variable that result in a denominator of 0 must be excluded from the range of that variable.

What is a Rational Expression?

• An algebraic fraction with a radical sign.

• An algebraic fraction with an equal sign and polynomials

• An algebraic fraction with a f(x).

• An algebraic fraction with a numerator and denominator that are polynomials.

What is a Rational Function?

• An equation of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions and q(x) ≠ 0.

• An equation of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions and p(x) ≠ 0.

• An expression of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial expressions and q(x) ≠ 0.

• An equation of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions and q(x) = 0.

What are the excluded values for: (Select all that apply)

• -6

• -2

• -3

• 2

• 3

• A

• B

• C

• D

• 
• 
• 
• 

What are the excluded values for: (Select all that apply)

• 0

• 4

• -3

• -4

• 3

Which could be an example of a vertical asymptote?

• xy = 4

• y = -3

• x = -7

• k = 5

Which could be an example of a horizontal asymptote?

• xy = 4

• y = -3

• x = -7

• k = 5

What is the vertical asymptote?

• x = 5

• x = -5

• y = -5

• y = -3

• x = 4