Verify graphically or in tables that one function is the inverse of another.
Clarifications:
Essential Understandings
Concrete:
- Identify a function.
- Identify the x and y variables.
- Identify the domain and range of a function.
- Identify the inverse of a function.
- Use tools (patty paper, transparencies, mirror, mira, graphing calculator) to reflect the original function.
- Identify an expression for a given function using manipulatives or a graph.
- Use paper folding to determine the mirror image.
- Use the horizontal line test to determine if a function has an inverse that is a function.
- Use a table to determine if the x and y values are inverses of each other.
- Understand the following concepts and vocabulary: domain, range, inverse, function, input, output, graph coefficient, slope, reflect, reflection, mirror image.
- Understand that for a function, every domain (x) value there is only one range (y) value.
- Understand that the inverse function creates a mirror image of the original function.
- Understand that the domain (x) and range (y) values of the original function are opposites of each other in the inverse function.
- MathisFun: Click Here
- Youtube: Click Here
General Information
Number: MAFS.912.F-BF.2.AP.4c
Category: Access Points
Date Adopted or Revised:
06/14
Cluster:
Build new functions from existing functions. (Algebra 1 - Additional Cluster) (Algebra 2 - Additional Cluster) :
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Related Standards
This access point is an alternate version of the following benchmark(s).
Related Courses
This access point is part of these courses.
Related Resources
Vetted resources educators can use to teach the concepts and skills in this access point.
Student Resources
Vetted resources students can use to learn the concepts and skills in this access point.
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this access point.