Graphs of Rational Functions
Authored by Valerie Nagle
Mathematics
10th - 12th Grade
CCSS covered
Used 154+ times
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About
This quiz focuses on the graphs of rational functions, a fundamental topic in Algebra 2 and Pre-Calculus typically taught at the 11th or 12th grade level. The questions comprehensively assess students' understanding of the key features that define rational function behavior: vertical asymptotes, horizontal asymptotes, holes (removable discontinuities), x-intercepts, domain, and range. Students must demonstrate their ability to analyze rational functions by identifying where denominators equal zero to find vertical asymptotes, comparing degrees of numerator and denominator polynomials to determine horizontal asymptote behavior, and recognizing when common factors create holes rather than asymptotes. The quiz requires students to distinguish between different types of discontinuities and understand the conceptual difference between vertical asymptotes (which occur when factors in the denominator don't cancel) and holes (which result from factors that cancel between numerator and denominator). This material demands strong algebraic manipulation skills and a deep understanding of function behavior, limits, and the connection between algebraic expressions and their graphical representations. Created by Valerie Nagle, a Mathematics teacher in the US who teaches grades 10-12. This quiz serves as an excellent formative assessment tool to gauge student mastery of rational function analysis before moving on to more complex topics like rational equations or advanced function transformations. Teachers can effectively use this as a review activity after completing the unit on rational functions, as homework to reinforce classroom instruction, or as a warm-up to activate prior knowledge before exploring applications of rational functions. The quiz format makes it ideal for quick checks of understanding and can help identify which specific aspects of rational function graphs need additional instruction or practice. The content aligns with Common Core standards A-APR.6 (rewriting rational expressions) and F-IF.7d (graphing rational functions, identifying zeros and asymptotes), as well as supporting the mathematical practices of reasoning abstractly and looking for structure in mathematical relationships.
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18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the asymptotes?
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
what is the equation that best matches the graph?
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is/are the vertical asymptote(s)?
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal asymptote of the function given?
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the Vertical Asymptotes of...
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the Horizontal Asymptote?
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the hole?
Tags
CCSS.HSF-IF.C.7D
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