Domain and Range Practice

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

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

Back

The domain is all real numbers, represented as (-∞, +∞).

Front

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

Back

The range is all real numbers greater than or equal to 0, represented as [0, +∞).

Front

What is the domain of the function defined by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is {-4, 0, 1, 2}.

Front

What is the range of the function defined by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is {-4, -3, 1}.

Front

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

Back

The domain can be found by identifying the x-values for which the graph exists.

Front

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

Back

The range can be found by identifying the y-values that the graph reaches.

Front

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

Back

The domain is all real numbers except x = 0, represented as (-∞, 0) ∪ (0, +∞).

Front

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

Back

The range is all real numbers except y = 0, represented as (-∞, 0) ∪ (0, +∞).