Is it a Function?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

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

Back

A mapping is not a function if at least one input is related to more than one output.

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a function in real life?

Back

An example of a function in real life is the relationship between the amount of money saved and the time spent saving.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for one quantity to be a function of another?

Back

It means that the value of one quantity depends on the value of another quantity.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What is the equation of a function?

Back

The equation of a function expresses the relationship between the input and output variables, such as y = f(x).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the input and output of a function.