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 defined by the equation y = 2x + 3?

Back

All real numbers, since there are no restrictions on x.

Front

What is the range of the function defined by the equation y = 2x + 3?

Back

All real numbers, since the line extends infinitely in both directions.

Front

If a function has a maximum x-value of 5, what is the domain?

Back

The domain is all x-values from the minimum to 5, inclusive.

Front

If a function has a minimum y-value of -2 and a maximum y-value of 3, what is the range?

Back

The range is -2 ≤ y ≤ 3.

Front

What is the domain of the function y = 1/(x-2)?

Back

All real numbers except x = 2, since the function is undefined at that point.

Front

What is the range of the function y = x^2?

Back

The range is y ≥ 0, since the square of any real number is non-negative.