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Math Analysis B Final Review
GROUP MATERIALS
1) Ms. Lee picks a student randomly.2) Selected student chooses a question.3) Group discusses question and writes FINAL
WORK & SOLUTION on whiteboard.4) When Ms. Lee calls “TIME,” all groups raise
their whiteboards.5) Groups with the correct answer earn points.
INSTRUCTIONS
- Students take turns writing on the whiteboard. After each question, whiteboard must be rotated CLOCKWISE.
- Follow instructions!- Ask for hints ONLY when your group
absolutely needs one. Hints cost $50.- Don’t write/draw anything unnecessary.
Don’t use the markers on anything other than the whiteboards.
HOW TO NOT LOSE POINTS...
JEOPARDY BOARD
Exponential Functions
LogarithmicFunctions
Log & ExpExpressions
Transformations Unit Circle
$100 $100 $100 $100 $100
$200 $200 $200 $200 $200
$300 $300 $300 $300 $300
$400 $400 $400 $400 $400
$500 $500 $500 $500 $500
Repeated addition → ___________Repeated multiplication → ______
Exponential Functions - $100
Click to see answer
Repeated addition → multiplication
Repeated multiplication → power
Exponential Functions - $100
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Which equation represents an exponential function?
A. f(x) = 2(x-4) + 1B. h(x) = 2^(x-4) + 1C. t(x) = (x-4)^2 + 1D. m(x) = e^(x-4) + 1
Exponential Functions - $200
Click to see answer
Exponential Functions - $200
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Which equation represents an exponential function?
B. h(x) = 2^(x-4) + 1
D. m(x) = e^(x-4) + 1
Exponential Functions - $300
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Which graph represents an exponential function?
A. B.
C. D.
Exponential Functions - $300
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Which graph represents an exponential function?
A.
Exponential Functions - $400
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Which table represents an exponential function?
A. B.
C. D.
x y
- 2 4
-1 1
0 0
x y
- 1 1/3
0 1
1 3
x y
1 16
2 8
3 4
x y
-3 9
-2 6
-1 3
Exponential Functions - $400
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Which table represents an exponential function?
B.
C.
x y
- 1 1/3
0 1
1 3
x y
1 16
2 8
3 4
Exponential Functions - $500
Click to see answer
Which of the following does not represent an exponential function?
A. n(x) = 5 - 4^x B. b(x) = 5 - 4x
C. D. x y
-1 -25
0 -5
1 -1
Exponential Functions - $500
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Which of the following does not represent an exponential function?
B. r(x) = 5 - 4x
C.
Logarithmic Functions - $100
Click to see answer
What is the inverse function of logarithmic functions?
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Logarithmic Functions - $100
What is the inverse function of logarithmic functions?
Exponential functions
Logarithmic Functions - $200
Click to see answer
Which equation represents a logarithmic function?
A. f(a) = 5 - ln(a+3)B. h(a) = 5 - sin (a+3)C. t(a) = 5 - log(a+3)D. m(a) = 5 - e^(a+3)
Logarithmic Functions - $200
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Which equation represents a logarithmic function?
A. f(a) = 5 - ln(a+3) C. t(a) = 5 - log(a+3)
Logarithmic Functions - $300
Click to see answer
Why are common logarithms and natural logarithms
important?
Logarithmic Functions - $300
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Common logs - base of 10Natural logs - base of e
*These are the only logs that are available on the calculator.
Logarithmic Functions - $400
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Which graph represents a logarithmic function?
A. B.
C. D.
Logarithmic Functions - $400
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Which graph represents a logarithmic function?
B.
Logarithmic Functions - $500
Click to see answer
Which of the following does not represent a logarithmic function?
A. r(x) = -log5 (x+3) B. q(x) = -ln(x+3)
C. D. x y
0 1
1 4
2 16
Logarithmic Functions - $500
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Which of the following does not represent a logarithmic function?
D. x y
0 1
1 4
2 16
Which are equivalents of ln 1?
A. log 1B. 1C. 0D. 10E. log41
Log & Exp Expressions - $100
Click to see answer
Log & Exp Expressions - $100
Click to return to Jeopardy Board
Which are equivalents of ln 1?
A. log 1 C. 0 E. log41
Log & Exp Expressions - $200
Click to see answer
Simplify each expression.
a) ln e
b) 7
4
log 7 0.345
Log & Exp Expressions - $200
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Simplify each expression.
a) ln e = 4
b) 7 = 0.345
4
log 7 0.345
Log & Exp Expressions - $300
Click to see answer
Simplify log √108
Log & Exp Expressions - $300
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Simplify log √10
1/8
8
Log & Exp Expressions - $400
Click to see answer
When the bases in an exponential equation are the same, you can solve
the equation by…
__________________________________________________________________
Log & Exp Expressions - $400
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When the bases in an exponential equation are the same, you can solve
the equation by…
Writing a separate equation for the exponents and solving the equation.
Log & Exp Expressions - $500
Click to see answer
When the bases in an exponential equation cannot be
manipulated to be the same, you can solve the equation by...
__________________________________________________________________
Log & Exp Expressions - $500
Click to return to Jeopardy Board
When the bases in an exponential equation cannot be
manipulated to be the same, you can solve the equation by...
Rewriting the exponential equation as a logarithmic equaiton.
How do you identify a translation in an equation?
Transformations - $100
Click to see answer
Transformations - $100
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How do you identify a translation in an equation?
addition/subtraction of a number
Transformations - $200
Click to see answer
How do you identify a stretch/shrink in an equation?
Transformations - $200
Click to return to Jeopardy Board
How do you identify a stretch/shrink in an equation?
multiplication/division of a number
Transformations - $300
Click to see answer
How do you identify a reflection in an equation?
Transformations - $300
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How do you identify a reflection in an equation?
Taking the oppositeor
Making it negative
Transformations - $400
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How do you distinguish a vertical translation/stretch/shrink
from a horizontal translation/stretch/shrink?
Transformations - $400
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How do you distinguish a vertical translation/stretch/shrink
from a horizontal translation/stretch/shrink?
vertical ← +/-/×/÷ to whole functionhorizontal ← +/-/×/÷ to input only
Transformations - $500
Click to see answer
Describe how to transform f(x) = log x to obtain
m(x) = -4 - log (3x - ½).
Transformations - $500
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Describe how to transform f(x) = log x to obtain m(x) = -4 - log (3x - ½).
m(x) = -4 - log (3(x - ⅙))Translate right ⅙ units
Horizontally shrink by ⅓ Reflect across the x-axisTranslate down 4 units
What is the unit circle created with…
a hypotenuse of _______
Trigonometry - $100
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Trigonometry - $100
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The unit circle is created with right triangles with a
hypotenuse of 1. The hypotenuses are
represented by the radii of the unit circle.
Trigonometry - $200
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Identify the quadrant of the terminal side and reference
angle of 31 /3.
Trigonometry - $200
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Identify the quadrant of the terminal side and reference
angle of 31 /3.
terminal side is in QIreference angle is /3
Trigonometry - $300
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Which of the following trig functions have a domain of
all real numbers?
Trigonometry - $300
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Which of the following trig functions have a domain of
all real numbers?
SINE & COSINE(sinusoid functions)
Trigonometry - $400
Click to see answer
Which key feature does each transformation affect?
Transformation Key FeatureV TranslationH TranslationV Stretch/ShrinkH Stretch/Shrink
DomainRangeZerosAsymptotesAmplitudePeriod
Trigonometry - $400
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Which key feature does each transformation affect?
Transformation Key FeatureV Translation Range, ZerosH Translation Domain, Zeros, Asymptotes
V Stretch/Shrink Range, AmplitudeH Stretch/Shrink Domain, Zeros, Asymptotes, Period
Trigonometry - $500
Click to see answer
Evaluate the following trigonometric values WITHOUT the unit circle.
a) sin 3 /2 = -1b) cos /2 = 0c) tan /4 = 1d) cot - /4 = -1e) sec /2 = undefined
Trigonometry - $500
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Evaluate the following trigonometric values WITHOUT the unit circle.
a) sin /2b) cos /2c) tan /4d) cot - /4e) sec /2
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