Equations as Functions

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

What is the missing number in the equation y = x - 6 when x = 6?

Back

12.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value has only one corresponding y-value.

Front

What does the vertical line test determine?

Back

It determines 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 is an example of a relation that is not a function?

Back

A relation where a single x-value is paired with multiple y-values.

Front

What is the significance of the domain in a function?

Back

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

Front

What is the significance of the range in a function?

Back

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

Front

What is a linear function?

Back

A function that can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is paired with exactly one input value.

Front

What is a composite function?

Back

A composite function is formed when one function is applied to the results of another function.