Is it a function?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is the vertical line test?

Back

A visual way to determine if a graph represents a function: if a vertical line crosses the graph more than once, it is not a function.

Front

Given the pairs (2,3), (3,4), (2,5), (4,6), is this a function?

Back

No, because the input 2 has two different outputs (3 and 5).

Front

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a function is defined as f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.