Examples for

# Common Core Math: High School Functions: Building Functions

In high school, students gain familiarity with the concept of functions and learn to transform and combine functions in new ways. In particular, students learn to create new functions by transforming a given function via a dilation or translation or by composing one function with another. Students also learn the concept of inverse functions and practice computing inverses of functions when they exist.

### Common Core Standards

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### Transformations of Functions

Translate, dilate and flip graphs of functions by altering their equations.

#### Transform the graph of a function (CCSS.Math.Content.HSF-BF.B.3):

#### Explore properties of functions by transforming their graphs (CCSS.Math.Content.HSF-BF.B.3):

### Model with Functions

Create functions to model mathematical relationships.

#### Compute quantities using relationships in real-world scenarios (CCSS.Math.Content.HSF-BF.A.1):

#### Find a function that describes terms in a sequence (CCSS.Math.Content.HSF-BF.A.2):

### Inverse Functions

Find inverse functions and explore their properties.