A parent function is a basic or standard function from which other related functions can be derived through transformations such as shifting, stretching, or reflecting. It is often used as a reference point for understanding the characteristics and properties of different functions.
A function family refers to a group of functions that are related to each other through a common parent function. Each function within the family is a variation of the parent function obtained by applying different transformations. Function families help organize and categorize different functions based on their similarities and differences. They can be used to study patterns, generalize properties, and make predictions about the behavior of functions within the family.
D. Explain the meaning of the terms "parent function" and "function family".
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