Standard #: 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.



Related Courses

Course Number1111 Course Title222
1200320: Algebra 1 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))


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