math war game characteristics of exponential-logarithmic functions
TRANSCRIPT
![Page 1: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/1.jpg)
CHARACTERISTICS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Review Problems
![Page 2: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/2.jpg)
Playing ideas
Set up 2 dice – one with letters A – E and the other with numbers 1 – 4. You can repeat a letter/number or say that teams lose a turn if they roll something other than A-E, 1-4.
Teams roll 2 dice … click on the square identified by the dice. Squares are hyperlinked to questions.
Put a chart on your board for keeping score. Decide if you want students to earn points for
squares in a row, for covering the board, or ???
![Page 3: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/3.jpg)
1 2 3 4
A A1 A2 A3 A4
B B1 B2 B3 B4
C C1 C2 C3 C4
D D1 D2 D3 D4
E E1 E2 E3 E4
![Page 4: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/4.jpg)
Question A1
![Page 5: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/5.jpg)
Answer A1
Choice D
House grows 1.2% … as a decimal is .012.
![Page 6: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/6.jpg)
Question A2
![Page 7: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/7.jpg)
Answer A2
The domain is all real numbers greater than 9
![Page 8: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/8.jpg)
Question A3
![Page 9: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/9.jpg)
Answer A3
The domain is all real numbers greater than 0.
![Page 10: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/10.jpg)
Question A4
What is the equation for this graph?
![Page 11: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/11.jpg)
Answer A4
y = 2x
![Page 12: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/12.jpg)
Question B1
The graph of lies entirely in what quadrants?
![Page 13: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/13.jpg)
Answer B1
In quadrants I and II.
![Page 14: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/14.jpg)
Question B2
Sketch a graph of
![Page 15: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/15.jpg)
Answer B2
Needs these points:
(0, 4)(1, 5)(2, 7)
![Page 16: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/16.jpg)
Question B3
Given
Describe the transformations for
![Page 17: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/17.jpg)
Answer B3
The graph is translated 3 units to the left.
![Page 18: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/18.jpg)
Question B4
![Page 19: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/19.jpg)
Answer B4
The new equation will be y = 3x-2
![Page 20: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/20.jpg)
Question C1
What is the domain and range of that function?
![Page 21: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/21.jpg)
Answer C1
The DOMAIN is all real numbers.
The RANGE is all real numbers greater than 0.
![Page 22: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/22.jpg)
Question C2
![Page 23: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/23.jpg)
Answer C2
The transformations are: Stretched by a factor of 4 Translated left 1 unit Translated down 1 unit
![Page 24: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/24.jpg)
Question C3
![Page 25: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/25.jpg)
Answer C3
The initial value is 25.2 The growth factor is 1.15 (The percent of growth is 15%)
![Page 26: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/26.jpg)
Question C4
![Page 27: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/27.jpg)
Answer C4
C = 25.2(1.15)9
88.65 computers per 100 people
![Page 28: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/28.jpg)
Question D1
![Page 29: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/29.jpg)
Answer D1
Y = 12.3495(1.1127x)
![Page 30: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/30.jpg)
Question D2
![Page 31: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/31.jpg)
Answer D2
Reasonable domain is between 39 and 98.6 degrees
Reasonable range is between 5 and 100 percent brain activity
![Page 32: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/32.jpg)
Question D3
![Page 33: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/33.jpg)
Answer D3
Y = 2.3692(1.0198^X)
Y = 5.09% brain function at 39 degrees
![Page 34: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/34.jpg)
Question D4
Which statement about the graph of the equation y = ex is NOT true?a) It is asymptotic to the x-axis.b) The domain is the set of all real
numbers.c) It lies in Quadrants I and II.d) It passes through the point (e, 1).
![Page 35: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/35.jpg)
Answer D4
Choice D is not true
![Page 36: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/36.jpg)
Question E1
![Page 37: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/37.jpg)
Answer E1
Choice D
![Page 38: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/38.jpg)
Question E2
As the value of x becomes negative and continues to decrease, what happens to the value of y in the equation y = 2x?a) y becomes negativeb) y gets closer to 1c) y gets closer to 0d) y gets closer to x
![Page 39: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/39.jpg)
Answer E2
Choice C
![Page 40: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/40.jpg)
Question E3
Which function is vertically stretched by a factor of 3 and translated 2 units left from its parent function?
![Page 41: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/41.jpg)
Answer E3
Choice A
![Page 42: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/42.jpg)
Question E4
Which of the following statements is ALWAYS true?a) A vertical translation of changes its
asymptote.b) A vertical translation of changes its
asymptotec) The graph of a transformation of
intersects the graph of
![Page 43: Math War Game Characteristics of Exponential-Logarithmic Functions](https://reader034.vdocument.in/reader034/viewer/2022051516/55cf991e550346d0339bb1d5/html5/thumbnails/43.jpg)
Answer E4
Choice B(Both A and C are sometimes true)