Functions and Domain and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) 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) that the function can produce.

Front

How do you determine the domain of a function given a set of points?

Back

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

Front

How do you determine the range of a function given a set of points?

Back

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

Front

What is an absolute value function?

Back

An absolute value function is a function of the form f(x) = |x|, which outputs the non-negative value of x.

Front

What is the domain of the absolute value function f(x) = |x|?

Back

The domain is all real numbers, D: {all real numbers}.

Front

What is the range of the absolute value function f(x) = |x|?

Back

The range is all non-negative real numbers, R: {y | y ≥ 0}.

Front

For the function f(x) = x^2, what is the domain?

Back

The domain is all real numbers, D: {all real numbers}.

Front

For the function f(x) = x^2, what is the range?

Back

The range is all non-negative real numbers, R: {y | y ≥ 0}.