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 determine the domain of a function from its graph?

Back

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

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

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 outputs for those inputs.

Front

What is the domain of the function graphed if it starts at x = 1 and ends at x = 5?

Back

The domain is 1 ≤ x ≤ 5.

Front

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

Back

The range is all real numbers since it is a linear function.

Front

How do you find the range of a function given a specific domain?

Back

Substitute the values from the domain into the function to find the corresponding outputs.