Domain and Range Flashcard

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

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-value has exactly one corresponding 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

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value corresponds to one y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 corresponds to two different y-values.

Front

What does the notation f(x) mean?

Back

The notation f(x) represents the output of the function f for a given input x.

Front

If f(x) = x^2, what is the range of f?

Back

The range of f(x) = x^2 is all real numbers y such that y ≥ 0.