Domain and Range and Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

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

Front

How do you determine the domain of a function from a set of ordered pairs?

Back

The domain is found by listing all the first elements (x-values) from the ordered pairs.

Front

How do you determine the range of a function from a set of ordered pairs?

Back

The range is found by listing all the second elements (y-values) from the ordered pairs.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

Given the function f(x) = 2x + 3, what is the range if the domain is {1, 2, 3}?

Back

The range is {5, 7, 9}.

Front

What is the mapping diagram?

Back

A mapping diagram visually represents the relationship between input values and output values.

Front

If a function has a domain of {1, 2, 3} and outputs {4, 5, 6}, what is the function?

Back

The function could be f(1)=4, f(2)=5, f(3)=6.

Front

What is the vertical line test?

Back

The vertical line test determines if a relation is a function by checking if any vertical line intersects the graph more than once.