Rational Function Domain and Range Quiz

Identify the domain of the rational function f(x) = (x+3)/(x-2)

• All real numbers except x=2

• All real numbers except x=-3

• All real numbers except x=3

• All real numbers except x=0

Find the domain of the rational function g(x) = 1/(x+2)(x-2)

What is the domain of the rational function h(x) = 2x/(x-3)(x+3)?

• x = 1, x = -1

• x = 3, x = -3

• x ≠ 3, x ≠ -3

• x = 0

Determine the domain of the rational function k(x) = 5/(x^2 + 1)

• Only positive numbers

• All real numbers

• Integers

• Numbers less than 5

Find the domain of the rational function m(x) = (x-1)/(x^2 - 5x + 6)

• x ≠ -1, x ≠ -2

• x ≠ 2, x ≠ 3

• x ≠ 0, x ≠ 1

• x ≠ 4, x ≠ 5

Identify the range of the rational function f(x) = (x+3)/(x-2)

• All real numbers except for the value of f(x) when x = 1

• All real numbers except for the value of f(x) when x = 2

• All real numbers except for the value of f(x) when x = -3

• All real numbers except for the value of f(x) when x = 0

Determine the range of the rational function k(x) = 5/(x^2 + 1)

• Numbers between 1 and 10

• All real numbers except 0

• All negative numbers

• Only even numbers

Find the range of the rational function m(x) = (x-1)/(2x+1)

• All real numbers except 1/2

• All real numbers except 1

• All real numbers except 2

• All real numbers except 0