Composition of Functions
Authored by J-Roc Myers
Mathematics
9th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on the composition of functions, a fundamental topic in Algebra 2 typically taught in grades 9-12. The questions systematically assess students' understanding of function operations, including function composition using both algebraic expressions and graphical representations. Students must demonstrate mastery of evaluating composite functions like f(g(x)) and (f ° g)(x), performing function arithmetic operations such as addition and subtraction, and interpreting function values from graphs to solve multi-step composition problems. The core concepts required include substitution techniques, algebraic manipulation skills, order of operations with nested functions, and the ability to read and interpret function graphs. Students need strong foundational skills in polynomial operations, the ability to work with function notation systematically, and the reasoning to understand that composition involves using the output of one function as the input for another. Created by J-Roc Myers, a Mathematics teacher in the US who teaches grades 9-12. This quiz serves as an excellent tool for formative assessment during a unit on function operations, allowing teachers to quickly gauge student comprehension of composition concepts before moving to more advanced topics. The variety of question types makes it ideal for differentiated practice sessions, homework assignments to reinforce classroom learning, or as a warm-up activity to activate prior knowledge before introducing inverse functions. Teachers can use this quiz during review sessions before unit tests or as a diagnostic tool to identify students who need additional support with algebraic manipulation within function contexts. The questions align with Common Core standards HSF-BF.A.1.c for combining functions using arithmetic operations and HSF-IF.A.2 for using function notation and evaluating functions for given inputs, providing comprehensive coverage of essential function composition skills that prepare students for advanced mathematics courses.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Tags
CCSS.HSF-BF.A.1C
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find f[g(5)]
30
242
92
2
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
f(g(x))
3x - 16
3x - 2
3x - 26
4x - 2
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
(f + g) (x)
5x2 + 3x
4x2 + 3x
5x2 - 3x
4x2 - 40x
Tags
CCSS.HSF-BF.A.1B
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If f(x) = 3x-1 and g(x) = x2+2,
what is (f ° g)(x) ?
3x2 +5
x2 +1
3x2 +1
3x2 +6
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If f(x) = x-5 and g(x) = 3x2-1,
what is (f ° g)(x) ?
3x2-5
3x2-1
3x2-4
3x2-6
Tags
CCSS.HSF-BF.A.1C
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Given f and g in the graph,
what is (f ° g)(-1) ?
1
4
-1
6
Tags
CCSS.HSF-BF.A.1C
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