Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication

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


Click to return to Jeopardy Board

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


Click to see answer



Which equation represents an exponential function?

B. h(x) = 2^(x-4) + 1

D. m(x) = e^(x-4) + 1


Click to see answer

Which graph represents an exponential function?

A. B.

C. D.



Which graph represents an exponential function?

A.


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



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


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



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?



What is the inverse function of logarithmic functions?

Exponential functions


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)



Which equation represents a logarithmic function?

A. f(a) = 5 - ln(a+3) C. t(a) = 5 - log(a+3)


Click to see answer

Why are common logarithms and natural logarithms

important?



Common logs - base of 10Natural logs - base of e

*These are the only logs that are available on the calculator.


Click to see answer

Which graph represents a logarithmic function?

A. B.

C. D.



Which graph represents a logarithmic function?

B.


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



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



Which are equivalents of ln 1?

A. log 1 C. 0 E. log41


Click to see answer

Simplify each expression.

a) ln e

b) 7

4

log 7 0.345



Simplify each expression.

a) ln e = 4

b) 7 = 0.345

4

log 7 0.345


Click to see answer

Simplify log √108



Simplify log √10

1/8

8


Click to see answer

When the bases in an exponential equation are the same, you can solve

the equation by…

__________________________________________________________________



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.


Click to see answer

When the bases in an exponential equation cannot be

manipulated to be the same, you can solve the equation by...

__________________________________________________________________



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



How do you identify a translation in an equation?

addition/subtraction of a number


Click to see answer

How do you identify a stretch/shrink in an equation?



How do you identify a stretch/shrink in an equation?

multiplication/division of a number


Click to see answer

How do you identify a reflection in an equation?



How do you identify a reflection in an equation?

Taking the oppositeor

Making it negative


Click to see answer

How do you distinguish a vertical translation/stretch/shrink

from a horizontal translation/stretch/shrink?



How do you distinguish a vertical translation/stretch/shrink

from a horizontal translation/stretch/shrink?

vertical ← +/-/×/÷ to whole functionhorizontal ← +/-/×/÷ to input only


Click to see answer

Describe how to transform f(x) = log x to obtain

m(x) = -4 - log (3x - ½).



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

Click to see answer

Trigonometry - $100


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

Click to see answer

Identify the quadrant of the terminal side and reference

angle of 31 /3.

Trigonometry - $200


Identify the quadrant of the terminal side and reference

angle of 31 /3.

terminal side is in QIreference angle is /3

Trigonometry - $300

Click to see answer

Which of the following trig functions have a domain of

all real numbers?

Trigonometry - $300


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


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


Evaluate the following trigonometric values WITHOUT the unit circle.

a) sin /2b) cos /2c) tan /4d) cot - /4e) sec /2

Documents

Final Review Math Analysis B - MS. LEE'S MATH CLASS€¦ · Repeated multiplication → _____ Exponential Functions - $100 Click to see answer. Repeated addition → multiplication