Domain and Range of Functions Flashcard

Front

What is the definition of 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 based on its domain.

Front

How do you find the range from a set of ordered pairs?

Back

To find the range from a set of ordered pairs, identify all the second elements (y-values) in the pairs.

Front

What is the definition of the domain of a function?

Back

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

Front

How do you find the domain from a set of ordered pairs?

Back

To find the domain from a set of ordered pairs, identify all the first elements (x-values) in the pairs.

Front

What does the notation (-∞, +∞) represent in terms of domain?

Back

The notation (-∞, +∞) indicates that the domain includes all real numbers.

Front

If f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

Front

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

Back

The range of h(x) = x^2 is [0, +∞) because the output values are always non-negative.

Front

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

Back

The domain of g(x) = 1/x is all real numbers except x = 0.

Front

How do you determine the domain of a graph?

Back

To determine the domain of a graph, look for the x-values that the graph covers.

Front

What is the range of the function k(x) = -x + 4?

Back

The range of k(x) = -x + 4 is all real numbers because it can take any value depending on x.