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 graphically?

Back

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

Front

How do you determine the range of a function graphically?

Back

The range can be determined by identifying the y-values that the graph reaches or approaches.

Front

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

Back

The domain is [0, ∞) because the square root function is only defined for non-negative values.

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?

Back

The domain is (-∞, 0) ∪ (0, ∞) because the function is undefined at x = 0.

Front

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

Back

The range is (-∞, 0) ∪ (0, ∞) because the output can never be zero.

Front

What is the domain of the function f(x) = sin(x)?

Back

The domain is (-∞, ∞) because the sine function is defined for all real numbers.

Front

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

Back

The range is [-1, 1] because the sine function oscillates between -1 and 1.