100 400 500 400 500 400 500 300 200 100 powers, roots, & radicals exponential & logarithmic...

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Page 1: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections
Page 2: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections
Page 3: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections
Page 4: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

100

400400400

500500500

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500

300 300 300 300 300

200 200 200 200 200

100 100 100 100

Powers, Roots, & Radicals

Exponential &

Logarithmic

Functions

Rational Equations

& Functions

Conic Sections

Sequences & Series

Page 5: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

100

400400400

500500500

400

500

400

500

300 300 300 300 300

200 200 200 200 200

100 100 100 100

Powers, Roots, & Radicals

Exponential &

Logarithmic

Functions

Rational Equations

& Functions

Quadratic Functions

Polynomials

Page 6: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $100

Write the expression in

exponential notation.

2 5 124 16x y z

Page 7: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $100 Answer

1 532 42x y z

Page 8: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $200

Given the functions below, what is

2 1 ?k s

24 and s 4k x x x x

Page 9: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $200 Answer

8

Page 10: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $300

What is the inverse of the function

2 for 2?y x x

Page 11: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $300 Answer

2 2, 0y x x

Page 12: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $400

The graph below is the function

What is the value of k?

.y k x

Page 13: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $400 Answer

5

Page 14: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $500

Solve for x: 32 3 2 3x

Page 15: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Powers, Roots, & Radicals - $500 Answer

101

8x

Page 16: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$100Sketch the graph of the function.

12

3

x

y

Page 17: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$100 Answer

Page 18: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$200Sketch the graph of the function.

log 4y x

Page 19: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions$200 Answer

Page 20: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$300Simplify the expression.

2 log6 log 4

Page 21: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions$300 Answer

log9

Page 22: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$400What is the solution of the equation?

23log 4x

Page 23: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$400 Answer

9x

Page 24: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$500Solve for k:

5ke

Page 25: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Exponential & Logarithmic Functions

$500 Answer

1ln

5k

Page 26: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions

$100List all of the asymptotes of the function.

1

2

xy

x

Page 27: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions$100 Answer

2, 1x y

Page 28: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions - $200

2 2

2

Simplfy the expression:

8 16 4

2 6 8

x x x

x x x

Page 29: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions

$200 Answer

4 2

2

x x

x

Page 30: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions - $300Sketch the graph.

4

2y

x

Page 31: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions

$300 Answer

Page 32: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions - $400

What is the solution set of the equation?

3 52

2x x

Page 33: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions

$400 Answer

3, 1

Page 34: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions - $500The equation below describes the relationship between the

focal length f of a thin lens, the distance d0 an object is from the lens, and the distance di the image is from the lens.

A lens has a focal length of 6 centimeters. How far is an object from a lens when its image is three times as far away?

0

1 1 1

if d d

Page 35: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Rational Equations & Functions

$500 Answer

0 8 cmd

Page 36: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $100

Identify and graph the conic section:

2 2

1 3 4x y

Page 37: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $100 Answer

circle

Page 38: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $200

Identify and graph the conic section:

2 23 2

149 16

x y

Page 39: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $200 Answer

ellipse

Page 40: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $300

Identify and graph the conic section:

22x y

Page 41: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $300 Answer

parabola

Page 42: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $400

*Daily Double!*

Identify and graph the conic section.

2 29 4 4 2 36x y

Page 43: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $400 Answer

hyperbola

Page 44: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $500

What type of conic section is

represented by the graph?

2 22 4 4 0x x y y

Page 45: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Conic Sections - $500 Answer

hyperbola

Page 46: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $100A box of paper clips begins with 270 clips.A person takes one-third of the clips and passes the box to a second person who takes one third of the remaining clips. How many clips remain when a fourthperson receives the box?

Page 47: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $100 Answer

80

Page 48: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $200

What is the sum of the infinitegeometric series?

1 2 4...

3 15 75

Page 49: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $200 Answer

5

9

Page 50: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $300

Write the formula of an arithmeticsequence when

1 52 and 82.t t

Page 51: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $300 Answer

2 20 1nt n

Page 52: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $400

What is the formula of the geometric sequence?

0.04, 0.2, 1, 5, …

Page 53: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $400 Answer

35nnt

Page 54: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $500

Write a recursive rule for the sequence.

1, 2, 5, 14, 41, 122, ...

Page 55: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Sequences & Series - $500 Answer

1 11, 3 1n nt t t

Page 56: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections
Page 57: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Final Jeopardy Category:

Rational

Functions

Page 58: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Final Jeopardy Question

Use the following functions:

4 2 and

2 3f x g x

x x

Let .h x f x g x

Solve for when 0.x h x

Page 59: 100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections

Final Jeopardy Answer

4

3x