UMHS AP Calculus - Summer Review
Summer Math assignments for current and incoming students
Complete this packet over the summer (DO NOT complete it all during the month of June . . . it will defeat the purpose of the packet). You will be tested on this information during the first week of school.
Advanced Placement (AP) Calculus
All Calculus students are required to have a
TI 84-Plus Graphing Calculator for this course.
The calculator will be used throughout this course, and in future math courses.
Please keep your eyes open for sales and purchase one before school begins.
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Part I: Graphical Analysis
Chapter 1 deals with functions and their graphical characteristics. To facilitate a study of functions, it is important to visualize mentally the graph of a function when given an algebraic description.
1. Graph each function.
2. Answer the following questions about the indicated functions. In completing the table below, you may use the following abbreviations, R: the set of Real Numbers, I: the set of integers, and א: the set of natural numbers. Note: this exercise may need to be done as appropriate sections of Chapter 1 are completed.
We recommend that you create a table to record your answers to the questions below.
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Domain:
Range
Zeros (find x when ):
Symmetry with respect to y-axis or origin:
Even or Odd functions - or
Is the function periodic ? If so state the period:
Is a one-to-one function? For each only one exists:
Concept Connectors:
3. Is there a relationship between symmetry in a function’s graph and the function being even or odd? Explain
4. Draw a reflection of the following functions through the x-axis
5. Draw a reflection of the following functions through the y-axis