Skip to main content

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

STANDARDS

 > 

US-MA

Math

Massachusetts Math

Model Mathematics I [MI]: Functions - Building Functions

MI.F-BF.A

Build a function that models a relationship between two quantities.

MI.F-BF.A.1

Write linear and exponential functions that describe a relationship between two quantities.

MI.F-BF.A.1.a

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

MI.F-BF.A.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.

MI.F-BF.A.2

Fully covered
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

MI.F-BF.B

Build new functions from existing functions.

MI.F-BF.B.3

Mostly covered
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear and exponential models. (Focus on vertical translations for exponential functions). Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.