Identify Functions

Front

What is a function?

Back

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

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used 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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no x-value is repeated with different y-values.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If you buy 36 cookies for $4, what is the unit rate in cookies per dollar?

Back

9 cookies per dollar.

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as the slope.

Front

What does a constant slope indicate in a graph?

Back

A constant slope indicates a linear relationship between the x and y variables.

Front

What is the definition of a non-linear function?

Back

A non-linear function is a function whose graph does not form a straight line, indicating that the rate of change is not constant.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.