Domain and Range: EndPoints (Daily Self-Check)

Front

What is the definition of 'Domain' in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of 'Range' in mathematics?

Back

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

Front

How do you express the domain of a function graphically?

Back

The domain can be expressed as an interval on the x-axis, indicating the values of x for which the function exists.

Front

How do you express the range of a function graphically?

Back

The range can be expressed as an interval on the y-axis, indicating the values of y that the function can take.

Front

What does the notation 'x ≤ 4' signify in terms of domain?

Back

It indicates that x can take any value less than or equal to 4.

Front

What does the notation 'y < -2' signify in terms of range?

Back

It indicates that y can take any value less than -2, but not including -2.

Front

How do you determine the domain from a graph?

Back

Identify the x-values that the graph covers; these values form the domain.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph covers; these values form the range.

Front

What is the domain of the function defined by the inequality -1 ≤ x ≤ 4?

Back

The domain is the interval [-1, 4].

Front

What is the range of the function defined by the inequality -2 < y ≤ 1?

Back

The range is the interval (-2, 1].