Exploring Functions and Their Applications

What is a relation in the context of functions?

• A set of repeating Y values

• A set of repeating X values

• A single ordered pair

• A set of ordered pairs

Which of the following statements is true about functions?

• Functions must have repeating Y values

• Functions must have unique X values

• Functions can have repeating X values

• Functions are not a type of relation

What is the purpose of the vertical line test?

• To find the domain of a function

• To determine if a graph is a relation

• To determine if a graph is a function

• To find the range of a function

If a vertical line touches a graph more than once, what does it indicate?

• The graph is continuous

• The graph is a function

• The graph is not a function

• The graph is a relation

What is another term for the domain of a function?

• Input

• Dependent variable

• Output

• Range

In the context of functions, what does the range represent?

• The set of all X values

• The set of all Y values

• The independent variable

• The input values

How are ordered pairs organized in a table?

• By arranging Y values in ascending order

• By arranging Y values in descending order

• By arranging X values in ascending order

• By arranging X values in descending order

What does it mean if a set of ordered pairs is not a function?

• The ordered pairs are not plotted on a graph

• The Y values repeat

• The X values repeat

• The ordered pairs are not in a table

What type of graph is described as having points that are not connected?

• Continuous graph

• Discrete graph

• Linear graph

• Quadratic graph

What is the domain of a continuous graph that extends infinitely in both directions?

• All positive numbers

• All negative numbers

• All integers

• All real numbers