Domain and Range

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 (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 (y) that result from using the function.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

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

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

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

Back

x ≥ 1.

Front

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

Back

y ≥ 0.

Front

What is the domain of the function f(x) = 1/(x - 2)?

Back

x ≠ 2.

Front

What is the range of the function f(x) = 3x + 1?

Back

All real numbers.

Front

If a function has a graph that goes from (-3, 2) to (4, 5), what is the domain?

Back

-3 ≤ x ≤ 4.

Front

If a function has a graph that goes from (0, -1) to (3, 2), what is the range?

Back

-1 ≤ y ≤ 2.