3.1 Functions and Relations

Front

What are all of the x values or inputs called?

Back

Domain

Front

Find the x-intercept of the equation 3x + 8y = 24.

Back

(8, 0)

Front

Does the graph represent a function?

Back

No, because the vertical line test shows there are repeating input values.

Front

Is this table a function or not a function?

Back

Not a Function

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What does the vertical line test determine?

Back

It determines whether a graph represents a function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values, while range refers to the set of all possible output values.