Composite Functions
Mathematics
10th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz addresses composite functions and function operations, which are foundational topics in Algebra 2 typically taught at the 10th or 11th grade level. The questions systematically progress from basic function evaluation to more complex composite function operations. Students need to understand function notation, substitution principles, and algebraic manipulation skills including distributing, combining like terms, and working with polynomial expressions. The core concepts assessed include evaluating functions at specific values, composing functions using the notation f(g(x)) and g(f(x)), performing arithmetic operations on functions (addition, subtraction), and interpreting basic function properties from graphs such as intervals of increase, decrease, and range. Students must demonstrate fluency with order of operations when substituting one function into another and recognize that composition of functions is not commutative. This quiz was created by a classroom teacher who designed it for students studying Algebra 2 concepts in grades 10-12. The assessment serves multiple instructional purposes, functioning effectively as a formative assessment tool to gauge student understanding before moving to more advanced function topics, or as targeted practice for students who need additional reinforcement with function operations. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge, assign it for homework to provide independent practice opportunities, or use it as a review tool before unit exams. The variety of question types allows educators to identify specific areas where students may struggle, such as distinguishing between f(g(x)) and g(f(x)) or properly applying algebraic rules during composition. This assessment aligns with standards HSF-BF.A.1 and HSF-IF.C.7, which focus on building functions through composition and analyzing function behavior respectively.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given f(x) = x+3, find f(-2).
-1
1
5
-5
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given
f(x) = 2x2 + 5x - 17,
find f(-1).
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given f(x) = 2x and
g(x) = x2+3 , find f(g(x)).
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).
Tags
CCSS.HSF-BF.A.1C
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Given f(x)= -3x+7 and g(x)=2x2 - 8, find g(f(x)).
Tags
CCSS.HSF-BF.A.1C
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