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Component: F-BF.1.b

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

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.

Component: F-BF.1.c

Subject Area: Mathematics (NYS P-12 Common Core)

Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

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.