Is it a function?

Front

What is a function?

Back

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

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 can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What does it mean if a table is not a function?

Back

If a table is not a function, it means that at least one input is associated with multiple outputs.

Front

Given the function rule y = 2x + 1, what is the output when the input is 3?

Back

The output is 7.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent the input and output of a function.