Exploring Functions, Domain, and Range

What is the domain of a relation?

• The set of all ordered pairs

• The set of all x-values of an ordered pair

• The set of all y-values of an ordered pair

• The set of all z-values of an ordered pair

How can you remember the difference between domain and range?

• Domain means z and range means y

• Domain means y and range means x

• Domain means y and range means z

• Domain means x and range means y

What makes a relation a function?

• Elements of the domain can repeat

• Each element in the range is paired with exactly one element in the domain

• Each element in the domain is paired with exactly one element in the range

• Elements of the range cannot repeat

What is the vertical line test used for?

• To determine the domain of a function

• To determine the range of a function

• To determine if a graph is a function

• To determine if elements of the range repeat

In a graph, what does it mean if a vertical line crosses the graph more than once?

• The graph represents a function

• The graph does not represent a function

• The domain is all real numbers

• The range is all real numbers

How do you determine the domain from a graph with arrows on both ends?

• The domain is all real numbers

• The domain is from zero to infinity

• The domain is from negative infinity to zero

• The domain is from negative infinity to infinity

What is the domain of a function with no restrictions?

• All integers

• All positive numbers

• All negative numbers

• All real numbers

What restriction applies to the domain of a function with a square root?

• The inside of the square root must be greater than or equal to zero

• The inside of the square root must be less than or equal to zero

• The inside of the square root must be greater than zero

• The inside of the square root must be less than zero

What restriction applies to the domain of a function with a fraction?

• The numerator can equal zero

• The numerator cannot equal zero

• The denominator can equal zero

• The denominator cannot equal zero

How do you combine restrictions for a function with both a square root and a denominator?

• The square root must be greater than or equal to zero and the denominator cannot equal zero

• The square root must be less than or equal to zero and the denominator cannot equal zero

• The square root must be greater than zero and the denominator can equal zero

• The square root must be less than zero and the denominator can equal zero