Rational Functions Algebra

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

• x=3
• x=1
• x=-3
• x=-2

x=1, x=-3 x=-4 x=1 x=-4,x=-3

• x=1, x=-3

• x=-4

• x=1

• x=-4,x=-3

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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What is the range of the function?

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

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