Relations and Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

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

Evaluate f(4) for the function f(x) = x^2 - 5x.

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

Given the function f(x) = -5x - 15, find f(4).

Back

f(4) = -5(4) - 15 = -20 - 15 = -35.

Front

What is the difference between domain and range?

Back

Domain refers to the input values of a function, while range refers to the output values.

Front

How do you find the domain of a set of points?

Back

The domain is found by listing all the unique x-values from the set of points.

Front

How do you find the range of a set of points?

Back

The range is found by listing all the unique y-values from the set of points.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.