MA.912.AR.9.10

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Solve and graph mathematical and real-world problems that are modeled with piecewise functions. Interpret key features and determine constraints in terms of the context.

Examples

A mechanic wants to place an ad in his local newspaper. The cost, in dollars, of an ad x inches long is given by the following piecewise function. Find the cost of an ad that would be 16 inches long. 

begin mathsize 12px style C left parenthesis x right parenthesis space equals space open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell space space space space space space space space space space space space space space space space space 12 x comma end cell cell x less than 5 end cell row cell 60 space plus space 8 left parenthesis x minus 5 right parenthesis comma end cell cell x greater or equal than 5 end cell end table close end style

Clarifications

Clarification 1: Key features are limited to domain, range, intercepts, asymptotes and end behavior.

Clarification 2: Instruction includes representing the domain, range and constraints with inequality notation, interval notation or set-builder notation.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning
Standard: Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200388: Mathematics for Data and Financial Literacy Honors (Specifically in versions: 2022 and beyond (current))
1200384: Mathematics for Data and Financial Literacy (Specifically in versions: 2022 and beyond (current))
1200710: Mathematics for College Algebra (Specifically in versions: 2022 and beyond (current))
1209315: Mathematics for ACT and SAT (Specifically in versions: 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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Formative Assessments

Graphing a Step Function:

Students are asked to graph a step function, state the domain of the function, and name any intercepts.

Type: Formative Assessment

Airport Parking:

Students are given a graph and a verbal description of a function and are asked to describe its domain.

Type: Formative Assessment

MFAS Formative Assessments

Airport Parking:

Students are given a graph and a verbal description of a function and are asked to describe its domain.

Graphing a Step Function:

Students are asked to graph a step function, state the domain of the function, and name any intercepts.

Student Resources

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Parent Resources

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