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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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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.

Common Core: HSF-BF.A.1

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.

This video provides two examples of how to determine the composition of two function.

This video provides two examples of how to determine composite function values given an initial input.

This video provides two examples of how to determine composite function values given an initial input.

This video provides several examples of how to determine composite function values.

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.

This video provides several examples of how to determine composite function values on the TI84 graphing calculator.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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