Reviewed and Approved

Your Father

Resource ID#: 43256

Primary Type: Problem-Solving Task


This document was generated on CPALMS - www.cpalms.org



This is a simple task touching on two key points of functions. First, there is the idea that not all functions have real numbers as domain and range values. Second, the task addresses the issue of when a function admits an inverse, and the process of "restricting the domain" in order to achieve an invertible function.

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators , Students , Parents
   
Instructional Time: 5 Minute(s)
 
Freely Available: Yes
Keywords: Your Father, functions, domain values, range values, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, resource, free, freely available, problems-based learning, student activities, Florida Standards, inverse function
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics



Aligned Standards

Name Description
MAFS.912.F-BF.2.4: Find inverse functions.
  1. 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) =2 x³ or f(x) = (x+1)/(x–1) for x ≠ 1.
  2. Verify by composition that one function is the inverse of another.
  3. Read values of an inverse function from a graph or a table, given that the function has an inverse.
  4. Produce an invertible function from a non-invertible function by restricting the domain.
MAFS.912.F-IF.1.1: 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).