Finding Domain & Range

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

How do you determine the domain of a quadratic function?

Back

The domain of a quadratic function is typically all real numbers unless specified otherwise by restrictions.

Front

How do you determine the range of a quadratic function?

Back

The range of a quadratic function can be determined by finding the vertex and the direction of the parabola (opening upwards or downwards).

Front

What does it mean if a function has a range of y ≤ 9?

Back

It means that the output values of the function can be any number less than or equal to 9.

Front

What does it mean if a function has a domain of -3 < x ≤ 3?

Back

It means that the input values of the function can be any number greater than -3 and less than or equal to 3.

Front

What is the domain of the constant function f(x) = 15?

Back

The domain of f(x) = 15 is all real numbers.

Front

What is the range of the constant function f(x) = 15?

Back

The range of f(x) = 15 is {15}, meaning the output is always 15.

Front

How can you represent the domain of a function graphically?

Back

The domain can be represented on a graph by identifying the x-values for which the graph exists.

Front

How can you represent the range of a function graphically?

Back

The range can be represented on a graph by identifying the y-values that the graph reaches.