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Algebra 2 Honors Unit 2 Functions Test

Authored by Jeannine Schott

Mathematics

10th - 11th Grade

CCSS covered

Used 89+ times

Algebra 2 Honors Unit 2 Functions Test
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This quiz comprehensively assesses functions within Algebra 2, targeting students in grades 10-11. The content focuses on three primary areas: function evaluation, domain and range identification, and function transformations. Students must demonstrate proficiency in evaluating functions by substituting values into linear, quadratic, absolute value, and cubic functions. They need to understand domain and range concepts, identifying appropriate interval notation for various function types. The most substantial portion examines transformations of parent functions, requiring students to analyze shifts (horizontal and vertical), reflections, stretches, and compressions across multiple function families including quadratic, absolute value, and cubic functions. Students must also interpret piecewise functions from graphs and evaluate them at specific points. The mathematical reasoning required includes understanding function notation, applying transformation rules systematically, and connecting algebraic expressions to their graphical representations. Created by Jeannine Schott, a Mathematics teacher in the US who teaches grades 10 and 11. This assessment serves as a comprehensive unit test for functions, providing multiple opportunities for students to demonstrate their understanding of core algebraic concepts. Teachers can utilize individual sections for targeted practice sessions, warmup activities focusing on function evaluation, or review sessions emphasizing transformation patterns. The quiz works effectively as a formative assessment tool to identify students who need additional support with specific transformation types or as homework to reinforce classroom instruction. The variety of question formats, from computational problems to graphical analysis, allows teachers to assess different learning styles and mathematical communication skills. This content aligns with Common Core standards A-REI.10 for understanding graphs of functions, F-IF.4 for interpreting function notation and evaluating functions, F-IF.7 for graphing functions and analyzing key features, and F-BF.3 for identifying transformations of functions and their effects on graphs.

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22 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

g(x) = 11 - x
Find g(-7) 

g(-7) = 4
g(-7) = 17
g(-7) = 18
g(-7) = -77

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate f(t)=-2t2+ 1 for f(2)

9
17
-17
-7

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the Domain and Range of  the Function?

D:[2,∞)
R:[0,∞)
D: All Real numbers
R:[0,∞)
D:(2,∞)
R:(0,∞)
D:All Real Numbers
R:(0,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the DOMAIN?

(-∞, +∞)
(-2, +∞)
[-2, +∞)
(-∞, 0) U (0, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the RANGE?

(-∞, +∞)
(-2, +∞)
[-2, +∞)
(-∞, 0) U (0, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the absolute value function?

f(x)= |x+4|
f(x)= |x-4|
f(x)= |x| + 4
f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the equation of the graph below?

f(x) = I x + 2 I 
f(x) = I x + 2 I +2
f(x) = I x - 2 I +2
f(x) = I x - 2 I 

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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