Rational Function Domain Interval Notation

a function that can be written as a ratio of two separate functions.

• Discontinuous Graph

• x-intercept

• Rational Function

• Continuous Graph

a way of writing subsets of a real number line.

• Domain

• Range

• Interval Notation

• Piecewise Function

Which parent function is this?

• Quadratic

• Cubic

• Linear

• Rational

Answer explanation

The correct answer is 'Rational' because a rational function is defined as the ratio of two polynomials. This distinguishes it from quadratic, cubic, and linear functions, which have different forms and characteristics.

State the domain of the following in interval notation. (NO SPACES and Write out the word infinity if needed. )

What is the domain of the rational function?

The domain of f(x) is ​ ​ ​ ​ (a)  

• (-∞,-1) U (-1,5) U (5,∞)

• (-∞,-1) U (5,∞)

• (-∞,∞)

• (-∞,-3) U (-3,-1) U (-1,2) U (2,5) U (5,∞)

• (-∞,-5) U (-5,1) U (1,∞)

• (-∞,-5) U (5,∞)

• (-∞,7) U (7,19) U (19,∞)

The domain of f(x) is ​ ​ ​ ​ (a)  

• (-∞,-1) U (-1,5) U (5,∞)

• (-∞,-1) U (5,∞)

• (-∞,∞)

• (-∞,-3) U (-3,-1) U (-1,2) U (2,5) U (5,∞)

• (-∞,-5) U (-5,1) U (1,∞)

• (-∞,-5) U (5,∞)

• (-∞,7) U (7,19) U (19,∞)

What is the domain of the function?

• (3, ∞)

• [-3, ∞)

• (-∞, 4]

• (-∞, 4)

What is the domain of the rational function?

What is the domain in interval notation for the corresponding rational function.