Domain & Range

Front

What is the definition of Domain in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What does it mean if the Range is y ≤ 6?

Back

The output values of the function can be any number less than or equal to 6.

Front

What does it mean if the Range is y ≥ 3?

Back

The output values of the function can be any number greater than or equal to 3.

Front

What does it mean if the Range is y > 0?

Back

The output values of the function can be any positive number.

Front

What is the Domain of a function that includes all real numbers?

Back

The function can accept any real number as an input.

Front

If a function has a Range of {-3, -1, 1, 3, 5, 7, 9}, what does this indicate?

Back

The function can only output the specific values -3, -1, 1, 3, 5, 7, and 9.

Front

How do you determine the Range of a function graphically?

Back

By identifying the lowest and highest points on the y-axis of the graph.

Front

How do you determine the Domain of a function graphically?

Back

By identifying the leftmost and rightmost points on the x-axis of the graph.

Front

What is the Range of the function f(x) = x^2?

Back

y ≥ 0, since the output is always non-negative.