Domain and Range

Front

What is the definition of domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the definition of range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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 a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

The domain of f(x) = x^2 is all real numbers, or (-∞, ∞).

Front

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

Back

The range of f(x) = x^2 is all real numbers greater than or equal to 0, or [0, ∞).

Front

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

Back

The domain is {1, 2, 3}.

Front

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

Back

The range is {2, 3, 4}.