Introduction to Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are all of the x values or inputs called?

Back

Domain

Front

What are all of the y values or outputs called?

Back

Range

Front

What is the range of the graph if 1 ≤ y ≤ 5?

Back

The range is the set of all y values from 1 to 5.

Front

If my function rule is y=x + 3, what is the OUTPUT if the input is 4?

Back

The output is 7.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

A function is one-to-one if every input has a unique output and no two inputs produce the same output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope of a line in a function?

Back

The slope is the rate of change of the function, representing how much y changes for a change in x.