Chapter 1 - Worksheet 3 - NEW FUNCTIONS FROM OLD
NAME_
1. Give values so that the table represents an invertible function
m
f (m)
1
2
3
0.0 _ _
9
_
_
Any numbers except 0.09, 7.8 and 9.4
4
5
7.80 9.40
2. For what values of A and K will S (t ) = At 3 K be
Chapter 1 Worksheet 4 - LOGARITHMS
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1. Calculate the following. Whenever possible give the exact value. If the value does not exist, state DNE.
A. log ( 1.035 )
0.01494
1
B. log 4
64
-3
C. log 2 ( 4 )
DNE
D. ln ( e )
E. log 9 ( 3)
On some of these
Chapter 1 - Worksheet 2 - EXPONENTIAL FUNCTIONS
Place answers on this sheet. Show work on your own paper.
NAME_
1. Determine which table illustrates an exponential function and which one illustrates a linear function. Find
formulas for these two functions
MATH 122A Functions for Calculus
January 9 February 1, 2013
Course Webpages: https:/d2l.arizona.edu for access to course content information and
materials, http:/math.arizona.edu/~calc for general information and additional resources.
Text: Chapter 1 of C
WS6-TRIGONOMETRY PART 2
NAME_
x
1. Find the exact value for csc tan 1
. Your answer will be in terms of x.
2
Hint: Make a right triangle and fill in the missing side.
2. Find exact value for each:
A. cos 1 (1) =
1
B. sin 1 =
2
3. Solve the follo
WS2-EXPONENTIAL FUNCTIONS
NAME_154
Sec # _
1. Determine which table illustrates an exponential function and which one illustrates a linear function. Find the
exact formula for these two functions. Your work must verify that the function is linear (three s
WS3-NEW FUNCTIONS FROM OLD
NAME_144
1. Draw an invertible function. State at least 2 characteristics of an invertible function.
2. For what values of A and K will S (t ) At 3 K be an invertible function?
Your answer should be based on transformation of 3
MATH 122A
FINAL EXAM STUDY GUIDE
(Fall 2012)
The following questions should be used as additional preparation for the Math 122A final exam.
These questions are not samples of questions that will appear on the final exam, but they will
provide practice for
WS8-LIMITS AND CONTINUITY
NAME_
SEC #_
1. Generate a table of values to find each of these limits. Include the table with at least 6 sets of values,
which clearly indicates your conclusion.
A. lim(1 + x)1 x
x 0
D. lim
t 1
1 t
B. lim
sin(2 )
0
C. lim
y
y
WS1-FUNCTIONS
NAME_154
SHOW WORK AND ALWAYS USE PROPER NOTATION.
SEC #_
1. The relationship between the tuition, T (in dollars), and the number of credits, c, at a particular college is
given by
0c6
100 + 120c
T (c ) =
800 + 120(c 6) 6 < c 18
A. What is
WS7-POLYNOMIAL AND RATIONAL
NAME_
(There are 4 pages)
SEC # _
1. Suppose a polynomial function has degree n and leading coefficient c.
Complete the following statements.
154
A. The number of turning points is at most_.
B. If n is odd and c>0, then y appro
PREPARING FOR MATH 122A
Functions for Calculus, Math 122A, is meant to further develop what students with a strong background in PreCalculus can do with the tools that they have already learned. The problems below are
those we feel students should be able
WS4-LOGARITHMS
NAME_ 154
Sec # _
1. Calculate the following. Whenever possible give the exact value. If an exact value cant be given, round to 4
decimal places. If the value does not exist, state DNE.
A. log (1.035 )
1
B. log 4
64
C. log 2 ( 4 )
D. l
WS5-TRIGONOMETRY PART 1
NAME_
1. Sketch the angle in standard position. Then find the exact values for cos and tan .
A.
7
3
B.
5
4
C.
2. In each case, determine the quadrant(s) for angle T.
A. sin T 0 and cos T 0
D.
B. cos T 0 and tan T 0
C. sec T 0 a
MATH 122A
FINAL EXAM STUDY GUIDE ANSWERS
(Fall 2012)
(
)
1. a) t 20 or t 20 . You can also write this as , 20 20, .
b) y 2 . You can also write this as ( , 2 ) ( 2, ) .
2. a)
b)
h
c)
h
t
h
t
t
(Be sure to label your axes.)
3. a) L = kS 2 A
b) If the speed
Chapter 1 - Worksheet 1 - FUNCTIONS
NAME_
1. As you travel at a fairly constant speed from Tucson to Bisbee (94 miles), you pass through Benson.
Benson is 40 miles from Tucson. Sketch graphs to represent the functions below. Label your graphs.
Hint: See a
Chapter 1 - Worksheet 5 - TRIGONOMETRY PART 1
NAME_
1. Consider the transformation y = A sin( Bx + C ) + D where A, B, C , and D are positive constants.
How does the value of each constant affect the graph of the standard sine function? Be specific.
A is
Chapter 1 - Worksheet 6 - TRIGONOMETRY PART 2
NAME_
1. Sketch the angle in standard position. Then find the exact values for cos and tan .
A. =
7
3
B. =
5
4
C. =
5
6
D. =
7
is in the 4th quadrant with reference angle .
3
3
3
sin
1
3=
2 = 3
cos =
and tan
WS1-FUNCTIONS
NAME_
1. As you travel at a fairly constant speed from Tucson to Bisbee (94 miles), you pass through Benson.
Benson is 40 miles from Tucson. Sketch graphs to represent the functions below. Label your graphs.
Hint: See a similar example in Ex
MATH 122A
FINAL EXAM STUDY GUIDE
(Fall 2016-Spring 2017)
The questions on the Math 122A final exam have a multiple choice format while the
questions in this study guide are not multiple-choice in order to encourage you to solve the
problems completely. Th