Domain & 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 given a graph?

Back

To determine the DOMAIN from a graph, identify the x-values for which the graph exists. Look for any breaks, holes, or asymptotes.

Front

What is the DOMAIN of the function f(x) = √(x - 1)?

Back

The DOMAIN is x ≥ 1, since the expression under the square root must be non-negative.

Front

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

Back

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

Front

What is the DOMAIN of the function f(x) = 1/(x - 2)?

Back

The DOMAIN is all real numbers except x = 2, where the function is undefined.

Front

How do you express the DOMAIN in interval notation?

Back

In interval notation, the DOMAIN is expressed using brackets and parentheses to indicate inclusive and exclusive endpoints, respectively.

Front

What is the RANGE of the function f(x) = 3x + 2?

Back

The RANGE is all real numbers, since a linear function can produce any y-value.

Front

What is the DOMAIN of the function f(x) = log(x)?

Back

The DOMAIN is x > 0, since the logarithm is only defined for positive numbers.

Front

How can you find the DOMAIN of a polynomial function?

Back

The DOMAIN of a polynomial function is all real numbers, as polynomials are defined for every real x.