Functions, Functions, Functions

Front

What is a function?

Back

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

Front

What does it mean if a scatter plot shows no correlation?

Back

No correlation means there is no discernible relationship between the x and y values in the scatter plot.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value is paired with only one y-value.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a vertical line test?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same 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 an example of a non-function?

Back

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