[21 / 9 / ?]
PART 1: FUNCTIONS
B. Identify if the following is a function or does not represent a function
1. g(x) = {(11,9), (5,7), (11,12), (5,8)}
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2. h(x) = {(5,9), (10,7), (2,12), (6,17)}
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3. f(x) = {(3,6), (4,9), (5,12), (13,4)}
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Part 2: Evaluating Functions
1. Evaluate the following functions at x=7
a. f(x) = --18x --19
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b. g(x) = --9x2 + 28x --24
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c. h(x) = --6x3 + 10x2 --5x --23
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d. g(x) = √ 15x2 + 3x + 15
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2. Given f(x) = 5x2 + 26x -- 17
a. f(--3)
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b. f(7.5)
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c. f(--9)
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d. f(8)
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e. f(--4)
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Posttest
1. Given f(x) = -6x2 + 27x + 18
a. f(-2)
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b. f(3.6)
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c. f(9)
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d. f(-12)
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e. f(4)
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Part 3: Operations On Functions
Addition of Functions:
1. f(x) = 45x -- 79 ; g(x) = --89x -- 40
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2. f(x) = 135x2 --15x + 32 ; g(x) = --45x2 + 76x -- 19
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Subtraction of Functions:
1. f(x) = --81x + 108 ; g(x) = 46x2 + 56x -- 82
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2. f(x) = --5x2 + 27x + 111 ; g(x) = --17x2 + 23x -- 15
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Multiplication of Functions:
1. f(x) = 5x + 15 ; g(x) = --7x --5
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2. f(x) = --5x2 + 4x + 12 ; g(x) = 6x --4
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Division of Functions:
1. f(x) = x2 + 8x ; g(x) = x
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2. f(x) = -4 + 2/x ; g(x) = x +2/x -4
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Posttest
Addition of Function
1. f(x) = --80x3 + 8x2 --23x + 92 ; g(x) = 23x2 + 18x --25
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Subtraction of Function
1. f(x) = 56x3 + 17x2 + 4x --12 ; g(x) = 45x3 --8x2 + 70x --142
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Multiplication of Function
1. f(x) = 3x3 + 4x2 + 6x --8 ; g(x) = 9x --5
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Division of Function
1. f(x) = 6x + 5/ x + 9 ; g(x) = x - 7/x - 4
Part 4: Problem Solving
1.The Villarica Volcano that is located at Chile is one of the perfect volcano in the world.
A volcanologist from Russia named Mr. Harold Gorvachev went to Chile to measure
volume of the Villarica Volcano by using a modern instrument. He found out that the
length of the volcano measures 12x2 + 8x, the height is 18x2 --9x, and its width is
11x respectively. Calculate for the volume of the Villarica Volcano if x=7m.
B. Identify if the following is a function or does not represent a function
1. g(x) = {(11,9), (5,7), (11,12), (5,8)}
=
2. h(x) = {(5,9), (10,7), (2,12), (6,17)}
=
3. f(x) = {(3,6), (4,9), (5,12), (13,4)}
=
Part 2: Evaluating Functions
1. Evaluate the following functions at x=7
a. f(x) = --18x --19
=
b. g(x) = --9x2 + 28x --24
=
c. h(x) = --6x3 + 10x2 --5x --23
=
d. g(x) = √ 15x2 + 3x + 15
=
2. Given f(x) = 5x2 + 26x -- 17
a. f(--3)
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b. f(7.5)
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c. f(--9)
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d. f(8)
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e. f(--4)
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Posttest
1. Given f(x) = -6x2 + 27x + 18
a. f(-2)
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b. f(3.6)
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c. f(9)
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d. f(-12)
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e. f(4)
=
Part 3: Operations On Functions
Addition of Functions:
1. f(x) = 45x -- 79 ; g(x) = --89x -- 40
=
2. f(x) = 135x2 --15x + 32 ; g(x) = --45x2 + 76x -- 19
=
Subtraction of Functions:
1. f(x) = --81x + 108 ; g(x) = 46x2 + 56x -- 82
=
2. f(x) = --5x2 + 27x + 111 ; g(x) = --17x2 + 23x -- 15
=
Multiplication of Functions:
1. f(x) = 5x + 15 ; g(x) = --7x --5
=
2. f(x) = --5x2 + 4x + 12 ; g(x) = 6x --4
=
Division of Functions:
1. f(x) = x2 + 8x ; g(x) = x
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2. f(x) = -4 + 2/x ; g(x) = x +2/x -4
=
Posttest
Addition of Function
1. f(x) = --80x3 + 8x2 --23x + 92 ; g(x) = 23x2 + 18x --25
=
Subtraction of Function
1. f(x) = 56x3 + 17x2 + 4x --12 ; g(x) = 45x3 --8x2 + 70x --142
=
Multiplication of Function
1. f(x) = 3x3 + 4x2 + 6x --8 ; g(x) = 9x --5
=
Division of Function
1. f(x) = 6x + 5/ x + 9 ; g(x) = x - 7/x - 4
Part 4: Problem Solving
1.The Villarica Volcano that is located at Chile is one of the perfect volcano in the world.
A volcanologist from Russia named Mr. Harold Gorvachev went to Chile to measure
volume of the Villarica Volcano by using a modern instrument. He found out that the
length of the volcano measures 12x2 + 8x, the height is 18x2 --9x, and its width is
11x respectively. Calculate for the volume of the Villarica Volcano if x=7m.