Is it a Function?

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

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

Back

It means that at least one x-value is paired with multiple y-values.

Front

Give an example of a function.

Back

An example of a function is the equation y = 2x + 3, where each x-value has one corresponding y-value.

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.

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 intersects the graph at more than one point, it is not a function.

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values that you put into a function, and outputs are the corresponding y-values that result from those inputs.

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 a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the domain of a function?

Back

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