# Functions: Building Functions Archive

Submit site search
• ### MI.Math.Content.HSF-BF.A.1b

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling…

• ### MI.Math.Content.HSF-BF.A.1c

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and…

• ### MI.Math.Content.HSF-BF.A.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate…

• ### MI.Math.Content.HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x +…

• ### MI.Math.Content.HSF-BF.B.4

Find inverse functions.

• ### MI.Math.Content.HSF-BF.B.4a

Solve an equation of the form f(x) = c for a simple function f that has an inverse and…

• ### MI.Math.Content.HSF-BF.B.4b

(+) Verify by composition that one function is the inverse of another.

• ### MI.Math.Content.HSF-BF.B.4c

(+) Read values of an inverse function from a graph or a table, given that the function has an…