Domain and 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-values) that can be input into 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-values) that can be output from the function.

Front

Identify the domain of the function represented by the set of points: {(0, 1), (2, 3), (4, 5)}.

Back

The domain is {0, 2, 4}.

Front

Identify the range of the function represented by the set of points: {(1, 2), (2, 3), (3, 4)}.

Back

The range is {2, 3, 4}.

Front

What are the x-values in a function called?

Back

The x-values are called the domain.

Front

What are the y-values in a function called?

Back

The y-values are called the range.

Front

Given the function f(x) = x^2, what is the range?

Back

The range is [0, ∞) because the output (y-values) is always non-negative.

Front

If a function has a domain of {-1, 0, 1, 2}, what does this mean?

Back

It means that the function can only accept -1, 0, 1, and 2 as input values.

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers, ℝ, because as x varies, f(x) can take any value.

Front

How do you find the range from a graph?

Back

To find the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.