Algebra I - Unit 3 Functions Midterm exam review

Front

What is the definition of a function?

Back

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

Front

Which of the following is a function? (Provide an example)

Back

An example of a function is: {(1, 2), (2, 3), (3, 4)}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {0, 1, 2, -4}, Range: {1, -3, -4}.

Front

What are all the x values or inputs called?

Back

All the x values or inputs are called the Domain.

Front

What are all the y values or outputs called?

Back

All the y values or outputs are called the Range.

Front

What is the relationship between domain and range in a function?

Back

The domain consists of all possible input values, while the range consists of all possible output values.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is an example of a non-function?

Back

An example of a non-function is: {(1, 2), (1, 3)}.

Front

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

Back

A one-to-one function means that each output is paired with exactly one input.

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.