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

What does the notation (-∞, 3] represent?

Back

This notation indicates that the domain includes all real numbers less than or equal to 3.

Front

What does the notation [-15, ∞) represent?

Back

This notation indicates that the range includes all real numbers greater than or equal to -15.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists.

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 reaches.

Front

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

Back

The domain is all real numbers except x = 2, which can be written as (-∞, 2) ∪ (2, ∞).

Front

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

Back

The range is [0, ∞) since x^2 is always non-negative.

Front

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

Back

The domain is [1, ∞) since the expression under the square root must be non-negative.

Front

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

Back

The range is (-∞, ∞) since the function can produce all real numbers.