Function Notation Practice
Authored by Bryanna Shirin
Mathematics
8th - 10th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on function notation and evaluation, covering the fundamental concepts that bridge basic algebra and more advanced mathematical thinking. The content is most appropriate for grades 9-10, as it requires students to work fluently with function notation, evaluate functions at given input values, solve equations when given function outputs, and apply the vertical line test to determine whether graphs represent functions. Students must demonstrate mastery of substitution skills, algebraic manipulation, and the conceptual understanding that functions represent input-output relationships. The problems progress from linear functions like f(x) = 2x + 1 to quadratic functions such as f(x) = 3x² + 3, rational functions, and radical functions involving square roots, requiring students to handle increasingly complex algebraic expressions while maintaining precision in their calculations and notation. Created by Bryanna Shirin, a Mathematics teacher in US who teaches grade 8 and 10. This quiz serves as an excellent tool for reinforcing function notation skills through targeted practice that can be implemented as a warm-up activity, homework assignment, or formative assessment to gauge student understanding before moving to more complex function topics. The variety of function types and problem formats allows teachers to identify specific areas where students need additional support, whether in basic substitution, solving equations, or recognizing functional relationships graphically. This assessment aligns with standards CCSS.MATH.CONTENT.8.F.A.1 and CCSS.MATH.CONTENT.HSF.IF.A.2, which focus on understanding functions as rules that assign exactly one output to each input and using function notation to evaluate functions for given values in their domains.
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18 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Given the function f(x)=2x+1, find f(4).
8
3/2
2/3
9
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Given f(x)=2x+1, find x if f(x)=16.
8
15/2
14/2
-7
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Given the function f(x)=3x2+3, find f(0).
3
0
3(0)2-3
-3
Tags
CCSS.HSF.IF.A.2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Given the function F(x)=3x2+3, find x if f(x)=78
25
5
5.196
9
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
If g(x)=(x+3)/5, find g(-2).
3/5
3
1/5
1
Tags
CCSS.HSF.IF.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Does this graph represent a function?
Yes, it passes the vertical line test.
No, it does not pass the vertical line test.
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.B.4
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Does this graph represent a function?
Yes, it passes the vertical line test.
No, it does not pass the vertical line test.
Tags
CCSS.HSF.IF.A.1
CCSS.HSF.IF.C.7
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