Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Building Functions
Cluster - 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.*
- Exponential function
A function of the form y = a •bx where a > 0 and either 0 < b < 1 or b > 1. The variables do not have to be x and y. For example, A = 3.2 • (1.02)t is an exponential function. - Linear function
A function with an equation of the form y = mx + b, where m and b are constants
[MI.F-IF.A.1] -
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
[MI.F-LE.A.2] -
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).*