Domain of Rational Functions in Set Notation

the set of all possible x-values.

• Domain

• Range

• Interval Notation

• Piecewise Function

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

• Discontinuous Graph

• x-intercept

• Rational Function

• Continuous Graph

What value is in the range but not in the domain?

• 3

• -2

• -1

• 0

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

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

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,∞)

Mathematical Equivalence

ON

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,∞)