Mathematics | Course : Model Mathematics II (Integrated Pathway)
Domain - Building Functions
Cluster - Build new functions from existing functions.
[MII.F-BF.B.4] - Find inverse functions algebraically and graphically.
- Inverse function
A function obtained by expressing the dependent variable of one function as the independent variable of another; that is the inverse of y = f(x) is x = f –1(y).
[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).
[MIII.F-LE.A.4] -
For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.*
[PC.F-BF.B.5] -
(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
[PC.F-TF.B.6] -
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
[PC.F-TF.B.7] -
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.*
[AQR.F-TF.B.7] -
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.*