Flashcard: Parent functions and domain and range

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear functions (y = x), quadratic functions (y = x²), and absolute value functions (y = |x|).

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

How do you determine the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, as there are no restrictions on the x-values.

Front

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

Back

The domain of the function y = |x| is all real numbers, as it is defined for every x.

Front

What is the range of the function y = x²?

Back

The range of the function y = x² is y ≥ 0, as the output is always non-negative.

Front

How do you find the range of a set of ordered pairs?

Back

To find the range of a set of ordered pairs, list all the unique y-values from the pairs.

Front

What is the parent function for a cubic function?

Back

The parent function for a cubic function is y = x³.

Front

What is the range of the function y = x³?

Back

The range of the function y = x³ is all real numbers, as it can produce any y-value.

Front

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

Back

The domain of the function y = 1/x is all real numbers except x = 0, as the function is undefined at that point.