Domain & Range

Front

What is the definition of 'Domain' in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) that will not cause any undefined behavior in the function.

Front

What is the definition of 'Range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

How do you determine the range of a function from a graph?

Back

The range can be determined by identifying the lowest and highest points on the graph and noting all the y-values that the graph covers.

Front

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

Back

The range is y ≥ 0.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is y ≥ 0.

Front

For the function f(x) = -x + 3, what is the range?

Back

The range is all real numbers.

Front

What is the domain of the function f(x) = √(x - 2)?

Back

The domain is x ≥ 2.

Front

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

Back

The domain is the set of all x-values from the given points.

Front

What is the range of the set of points {(1, 2), (2, 3), (3, 5)}?

Back

The range is {2, 3, 5}.