Domain of Polynomials and Rational Functions

Which of the following is not a critical feature of the rational function f(x)?

• x-int (5,0)

• Hole (2,-7)

• VA:  x = -3

• HA: y = 1

Which of the following are true statements? Check all that apply?

• The range of polynomial functions depends only on end behavior.

• Polynomials Functions can never have 1 imaginary root.

• Sometimes the degree of a polynomial will not match the number of roots it has.

• Regardless of degree, all polynomials share the same domain.

Given the following table of quadratic data, determine the value of a.

A ______________________ can represent the end behavior of a rational function. Check all that apply.

• Horizontal Asymptote

• Vertical Asymptote

• Removable Discontinuity

• Slant Asymptote

• Cubic Asymptote

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1

• D : All real number x ≠ 1
  R: All real number y≠ -3

• D : All real number x ≠ 3
  R: All real number y≠ 1

• D : All real number x ≠ -1
  R: All real number y≠ 3

Find the domain of the function. f(x)=\frac{x^3}{x+8}

• x cannot equal to 8

• x cannot equal to 0

• x cannot equal to -8

• All real numbers

Write the equation for the graph.

Write the equation for the graph.

• x cannot equal to 8

• x cannot equal to 0

• x cannot equal to -8

• All real numbers

How can you find the domain of a Rational Function?

• By finding the range

  of the numerator

• By factoring the numerator and

  denominator

• By multiplying by the

  reciprocal of the denominator

• The domain is always ALL REAL

  NUMBERS