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) for which the function is defined.

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 find the range of a function given a set of ordered pairs?

Back

The range is found by identifying all the unique y-values from the ordered pairs.

Front

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

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is all real numbers y such that y ≥ 0.

Front

Given the function f(x) = x + 3, what is the domain?

Back

The domain is all real numbers.

Front

What is the range of the function f(x) = -x^2 + 4?

Back

The range is all real numbers y such that y ≤ 4.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary depending on the function's output for those inputs.

Front

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

Back

The domain is all real numbers x such that x ≥ 0.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.