Domain and Range of Functions

Front

What are all of the y values or outputs of a function called?

Back

Range

Front

What is the DOMAIN of the function represented by the interval [0, ∞)?

Back

The domain includes all x values from 0 to positive infinity.

Front

What is the RANGE of the graph shown if it is represented by the interval [2, 5)?

Back

The range includes all y values from 2 to 5, including 2 but not including 5.

Front

What is the range of the function represented by (-∞, 2]?

Back

The range includes all y values less than or equal to 2.

Front

Identify the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

The domain is {-6, 0, 2, 4}.

Front

What is the definition of 'domain' in the context of functions?

Back

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

Front

What is the definition of 'range' in the context of functions?

Back

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

Front

If a function has a domain of (-∞, 0], what does this mean?

Back

The function accepts all x values from negative infinity up to and including 0.

Front

If a function has a range of (2, 5], what does this mean?

Back

The function outputs y values greater than 2 and up to and including 5.

Front

What is the domain of the function f(x) = √x?

Back

The domain is [0, ∞) because the square root function is only defined for non-negative x values.