final review math analysis b - ms. lee's math class€¦ · repeated multiplication → _____...
TRANSCRIPT
![Page 1: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/1.jpg)
Math Analysis B Final Review
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GROUP MATERIALS
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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
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- 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...
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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
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Repeated addition → ___________Repeated multiplication → ______
Exponential Functions - $100
Click to see answer
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Repeated addition → multiplication
Repeated multiplication → power
Exponential Functions - $100
Click to return to Jeopardy Board
![Page 8: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/8.jpg)
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
![Page 9: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/9.jpg)
Exponential Functions - $200
Click to return to Jeopardy Board
Which equation represents an exponential function?
B. h(x) = 2^(x-4) + 1
D. m(x) = e^(x-4) + 1
![Page 10: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/10.jpg)
Exponential Functions - $300
Click to see answer
Which graph represents an exponential function?
A. B.
C. D.
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Exponential Functions - $300
Click to return to Jeopardy Board
Which graph represents an exponential function?
A.
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Exponential Functions - $400
Click to see answer
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
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Exponential Functions - $400
Click to return to Jeopardy Board
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
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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
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Exponential Functions - $500
Click to return to Jeopardy Board
Which of the following does not represent an exponential function?
B. r(x) = 5 - 4x
C.
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Logarithmic Functions - $100
Click to see answer
What is the inverse function of logarithmic functions?
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Click to return to Jeopardy Board
Logarithmic Functions - $100
What is the inverse function of logarithmic functions?
Exponential functions
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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)
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Logarithmic Functions - $200
Click to return to Jeopardy Board
Which equation represents a logarithmic function?
A. f(a) = 5 - ln(a+3) C. t(a) = 5 - log(a+3)
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Logarithmic Functions - $300
Click to see answer
Why are common logarithms and natural logarithms
important?
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Logarithmic Functions - $300
Click to return to Jeopardy Board
Common logs - base of 10Natural logs - base of e
*These are the only logs that are available on the calculator.
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Logarithmic Functions - $400
Click to see answer
Which graph represents a logarithmic function?
A. B.
C. D.
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Logarithmic Functions - $400
Click to return to Jeopardy Board
Which graph represents a logarithmic function?
B.
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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
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Logarithmic Functions - $500
Click to return to Jeopardy Board
Which of the following does not represent a logarithmic function?
D. x y
0 1
1 4
2 16
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Which are equivalents of ln 1?
A. log 1B. 1C. 0D. 10E. log41
Log & Exp Expressions - $100
Click to see answer
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Log & Exp Expressions - $100
Click to return to Jeopardy Board
Which are equivalents of ln 1?
A. log 1 C. 0 E. log41
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Log & Exp Expressions - $200
Click to see answer
Simplify each expression.
a) ln e
b) 7
4
log 7 0.345
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Log & Exp Expressions - $200
Click to return to Jeopardy Board
Simplify each expression.
a) ln e = 4
b) 7 = 0.345
4
log 7 0.345
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Log & Exp Expressions - $300
Click to see answer
Simplify log √108
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Log & Exp Expressions - $300
Click to return to Jeopardy Board
Simplify log √10
1/8
8
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Log & Exp Expressions - $400
Click to see answer
When the bases in an exponential equation are the same, you can solve
the equation by…
__________________________________________________________________
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Log & Exp Expressions - $400
Click to return to Jeopardy Board
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.
![Page 34: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/34.jpg)
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...
__________________________________________________________________
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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.
![Page 36: Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication](https://reader034.vdocument.in/reader034/viewer/2022050410/5f8719f2d213d23e037c8110/html5/thumbnails/36.jpg)
How do you identify a translation in an equation?
Transformations - $100
Click to see answer
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Transformations - $100
Click to return to Jeopardy Board
How do you identify a translation in an equation?
addition/subtraction of a number
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Transformations - $200
Click to see answer
How do you identify a stretch/shrink in an equation?
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Transformations - $200
Click to return to Jeopardy Board
How do you identify a stretch/shrink in an equation?
multiplication/division of a number
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Transformations - $300
Click to see answer
How do you identify a reflection in an equation?
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Transformations - $300
Click to return to Jeopardy Board
How do you identify a reflection in an equation?
Taking the oppositeor
Making it negative
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Transformations - $400
Click to see answer
How do you distinguish a vertical translation/stretch/shrink
from a horizontal translation/stretch/shrink?
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Transformations - $400
Click to return to Jeopardy Board
How do you distinguish a vertical translation/stretch/shrink
from a horizontal translation/stretch/shrink?
vertical ← +/-/×/÷ to whole functionhorizontal ← +/-/×/÷ to input only
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Transformations - $500
Click to see answer
Describe how to transform f(x) = log x to obtain
m(x) = -4 - log (3x - ½).
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Transformations - $500
Click to return to Jeopardy Board
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
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What is the unit circle created with…
a hypotenuse of _______
Trigonometry - $100
Click to see answer
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Trigonometry - $100
Click to return to Jeopardy Board
The unit circle is created with right triangles with a
hypotenuse of 1. The hypotenuses are
represented by the radii of the unit circle.
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Trigonometry - $200
Click to see answer
Identify the quadrant of the terminal side and reference
angle of 31 /3.
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Trigonometry - $200
Click to return to Jeopardy Board
Identify the quadrant of the terminal side and reference
angle of 31 /3.
terminal side is in QIreference angle is /3
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Trigonometry - $300
Click to see answer
Which of the following trig functions have a domain of
all real numbers?
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Trigonometry - $300
Click to return to Jeopardy Board
Which of the following trig functions have a domain of
all real numbers?
SINE & COSINE(sinusoid functions)
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Trigonometry - $400
Click to see answer
Which key feature does each transformation affect?
Transformation Key FeatureV TranslationH TranslationV Stretch/ShrinkH Stretch/Shrink
DomainRangeZerosAsymptotesAmplitudePeriod
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Trigonometry - $400
Click to return to Jeopardy Board
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
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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
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Trigonometry - $500
Click to return to Jeopardy Board
Evaluate the following trigonometric values WITHOUT the unit circle.
a) sin /2b) cos /2c) tan /4d) cot - /4e) sec /2