PreCalc Review 2.1-2.3
Authored by Sean Fitzgerlad
Mathematics
9th - 12th Grade
CCSS covered
Used 73+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
About
Looking at the questions in this quiz, I can see this covers essential precalculus concepts focusing on polynomial functions, rational functions, and their graphical behaviors. This material is appropriate for grades 11-12, as it requires students to analyze complex function properties including end behavior, continuity, transformations, and roots. The core concepts students need include understanding how degree and leading coefficients determine end behavior, recognizing discontinuities in rational functions, working with vertex form and completing the square for quadratic functions, applying the Fundamental Theorem of Algebra to determine the number of polynomial roots, and interpreting various function transformations graphically. Students must demonstrate fluency with function notation, limit concepts, and the ability to connect algebraic representations with their corresponding graphs across polynomial, rational, and radical functions. Created by Sean Fitzgerlad, a Mathematics teacher in US who teaches grade 9-12. This comprehensive review quiz effectively supports precalculus instruction by covering the foundational function analysis skills that students need before advancing to calculus. The quiz works exceptionally well as a formative assessment tool to gauge student understanding of functions 2.1-2.3 concepts, and can be deployed as a warm-up activity to activate prior knowledge, assigned as homework to reinforce classroom learning, or used as targeted practice before unit assessments. The variety of question types - from analyzing end behavior and continuity to converting between standard and vertex forms - allows teachers to identify specific areas where students need additional support. This assessment aligns with standards including F-IF.4 (interpreting key features of functions), F-IF.5 (relating domain of functions to their graphs), F-BF.3 (identifying the effect of transformations on graphs), and A-APR.3 (identifying zeros of polynomials and using the Fundamental Theorem of Algebra).
Content View
Student View
22 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the end behavior of f(x) = 3x6 as x goes to negative infinity?
positive infinity
negative infinity
zero
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.B.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is the following function continuous?
f(x) = 4x-5
yes
no
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.B.4
CCSS.HSA.APR.D.7
CCSS.HSF.IF.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the range of f(x) = -3x-7?
y>0
y<0
(negative infinity, positive infinity)
(-infinity, 0) U (0, +infinity)
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The graph most accurately represents which of the following functions?
y=∛x
y = x2
y =x3
y = 1 ∕ x
Tags
CCSS.HSF-IF.C.7B
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which statement is true about the end behavior of the function
y = -3x2?
As x approaches negative infinity, y approaches 0.
As x approaches positive infinity, y approaches negative infinity.
As x approaches positive infinity, y approaches 0.
As x approaches negative infinity, y approaches positive infinity.
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Describe the end behavior of the function.
lim x→ ∞, f(x) = ∞
lim x → -∞, f(x) = -∞
lim x→ ∞, f(x) = -∞
lim x → -∞, f(x) = -∞
lim x→ ∞, f(x) = -∞
lim x → -∞, f(x) = +∞
lim x→ ∞, f(x) = ∞
lim x → -∞, f(x) = ∞
Tags
CCSS.HSF.IF.C.7
CCSS.HSF.IF.B.4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is most likely the function of the graph shown.
Tags
CCSS.HSF-IF.C.7B
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
