 # Compose Functions

Related Topics:
Common Core (Functions)
Common Core for Mathematics

Examples, solutions, and lessons to help High School students learn how to write a function that describes a relationship between two quantities.

C. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

Common Core: HSF-BF.A.1

Composite Functions
This video defines a composite function and shows how to determine the value of a composite function and how to determine a composite function given two functions.
Ex 1: Composition of Function
This video provides two examples of how to determine the composition of two function.

Ex 1: Composite Function Values
This video provides two examples of how to determine composite function values given an initial input. Ex 2: Composite Function Values
This video provides two examples of how to determine composite function values given an initial input. Ex 1: Find Composite Function Values
This video provides several examples of how to determine composite function values. Ex: Intro Composite Function Notation Application Problem
This video provides two examples of how a composite function can be used to represent a real life application. It provides practice forming a composite function to answer an application question. Word Problems on Composition of Functions Composite Function Values on the TI-84
This video provides several examples of how to determine composite function values on the TI84 graphing calculator.

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