Parent Functions with Domain and Range

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

What is 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 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

What is the domain of the square root function y = √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 square root function y = √x?

Back

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

Front

What is the domain of the absolute value function y = |x|?

Back

The domain is (-∞, ∞) because absolute value is defined for all real numbers.

Front

What is the range of the absolute value function y = |x|?

Back

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

Front

What is the domain of the cube root function y = ∛x?

Back

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

Front

What is the range of the cube root function y = ∛x?

Back

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

Front

What is the domain of the rational function y = 1/x?

Back

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