What defines a rational function?

• A function that is a polynomial.

• The ratio of two polynomials where the denominator can be any real number.

• The ratio of two polynomials where the polynomial in the denominator cannot equal 0.

• A function that only contains integer exponents.

What is the domain of the rational function g(x) = (4x - 1) / (x^2 - 2x - 24)?

• All real numbers except x = 6 and x = 4.

• All real numbers except x = -6 and x = 4.

• All real numbers except x = 6 and x = -4.

• All real numbers except x = -6 and x = -4.

Based on the provided graph, what is the domain of the rational function?

• All real numbers except x = -2 and x = 5.

• All real numbers except x = 2 and x = -5.

• All real numbers except x = -2 and x = -5.

• All real numbers except x = 2 and x = 5.

Are you enjoying the video lesson?

• Yes

• No

What is the end behavior of the function f(x) = (x^2 - 4) / (3x + 12) as x approaches positive infinity?

• f(x) approaches positive infinity.

• f(x) approaches negative infinity.

• f(x) approaches 0.

• f(x) approaches a constant value.

What is the end behavior of the function g(x) = (4x - 1) / (x^2 - 2x - 24) as x approaches negative infinity?

• g(x) approaches positive infinity.

• g(x) approaches negative infinity.

• g(x) approaches 0.

• g(x) approaches a constant value other than 0.