Domain and Range rti

Front

What is the definition of 'Domain' in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of 'Range' in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

Identify the domain of the function defined by the graph: y = 2x + 3.

Back

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

Front

Identify the range of the function defined by the graph: y = x^2.

Back

The range is [0, ∞) because the output of a square function 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

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

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

Back

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

Front

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

Back

The range is [0, ∞) because the output of the square root function is always non-negative.