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Math

Mississippi Math

Advanced Mathematics Plus: Functions: Building Functions (F-BF)

Build a function that models a relationship between two quantities

F-BF.1

Write a function that describes a relationship between two quantities.

F-BF.1.a

Mostly covered
Determine an explicit expression or steps for calculation from a context.

F-BF.1.b

Fully covered
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.

F-BF.1.c

Mostly covered
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.

Build new functions from existing functions

F-BF.4

Find inverse functions.

F-BF.4.a

Fully covered
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x)=2x^3 or f(x) = (x+1)/(x-1) for x ≠ 1.

F-BF.4.b

Fully covered
Verify by composition that one function is the inverse of another.

F-BF.4.c

Fully covered
Read values of an inverse function from a graph or a table, given that the function has an inverse.

F-BF.4.d

Fully covered
Produce an invertible function from a non-invertible function by restricting the domain.

F-BF.5

Fully covered
Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.