HSF-BF.A.1

Write a function that describes a relationship between two quantities.

a Determine an explicit expression, a recursive process, or steps for calculation from a context.

b 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.

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.

Tasks

Summer Intern
Skeleton Tower
Susita's Account
A Sum of Functions
Crude Oil and Gas Mileage
Kimi and Jordan
Temperature Conversions
The Canoe Trip, Variation 1
The Canoe Trip, Variation 2
Lake Algae
Compounding with a 5% Interest Rate
Compounding with a 100% Interest Rate
Graphs of Compositions
Flu on Campus
Building an Explicit Quadratic Function by Composition
1,000 is half of 2,000