MA.912.F.3.1

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Given a mathematical or real-world context, combine two functions, limited to linear and quadratic, using arithmetic operations. When appropriate, include domain restrictions for the new function.

Examples

The quotient of the functions begin mathsize 12px style f open parentheses x close parentheses equals 3 x squared minus 7 x plus 3 end styleand begin mathsize 12px style g open parentheses x close parentheses equals 6 x minus 1 end style can be expressed as begin mathsize 12px style h open parentheses x close parentheses equals fraction numerator 3 x squared minus 7 x plus 3 over denominator 6 x minus 1 end fraction end style, where the domain of h(x) is begin mathsize 12px style negative infinity less or equal than x less than 1 over 6 end style and begin mathsize 12px style 1 over 6 less than x less or equal than infinity end style.

Clarifications

Clarification 1: Instruction includes representing domain restrictions with inequality notation, interval notation or set-builder notation.

Clarification 2: Within the Algebra 1 Honors course, notations for domain and range are limited to inequality and set-builder.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Functions
Standard: Create new functions from existing functions.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))

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