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# Building Functions

Building a function that models a relationship between two quantities. Building new functions from existing functions (including simple radical, rational, and exponential functions)

#### Mapped to CCSS Section# HSF.BF.A.1, HSF.BF.A.1a, HSF.BF.A.1b, HSF.BF.A.1c

Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. 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.