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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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