Domain and Range

Front

What is the definition of the domain of 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 the range of 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 all 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 all the y-values that the graph covers.

Front

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

Back

The domain is [1, ∞) because 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 [0, ∞) because the output of x^2 is always non-negative.

Front

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

Back

The domain is (-∞, 2) ∪ (2, ∞) because the function is undefined at x = 2.

Front

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

Back

The range is (-∞, 0) ∪ (0, ∞) because the function never reaches 0.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers, (-∞, ∞).

Front

What is the range of a linear function?

Back

The range of a linear function is also all real numbers, (-∞, ∞).