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© Mark E. Damon - All Rights Reserved
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19
20 21 22 23 24 25
Final
26 27 28
29
© Mark E. Damon - All Rights Reserved
Find the domain of
f(x) = x2 – 4x - 32
Find the domain of
f(x) = x2 – 4x - 32
© Mark E. Damon - All Rights Reserved
(-∞,∞)(-∞,∞)
Home
© Mark E. Damon - All Rights Reserved
Find the domain of
f(x) =
Find the domain of
f(x) = 2x25
© Mark E. Damon - All Rights Reserved
[-5, 5][-5, 5]
Home
© Mark E. Damon - All Rights Reserved
Find the domain of
f(x)=
Find the domain of
f(x)= 36x25
52
© Mark E. Damon - All Rights Reserved
(-∞,-6/5)U(-6/5, 6/5)U(6/5,∞)
(-∞,-6/5)U(-6/5, 6/5)U(6/5,∞)
Home
© Mark E. Damon - All Rights Reserved
Find the domain of
f(x) =
Find the domain of
f(x) = 1x2x
x2
© Mark E. Damon - All Rights Reserved
[0, ∞) [0, ∞)
Home
© Mark E. Damon - All Rights Reserved
Find the domain of
f(x)=
Find the domain of
f(x)=8x2x
5x2
© Mark E. Damon - All Rights Reserved
[-5, -4)U
(-4, 2)U(2, ∞)
[-5, -4)U
(-4, 2)U(2, ∞)
Home
© Mark E. Damon - All Rights Reserved
Even, Odd, or Neither?
f(x) = x2 + 3
Even, Odd, or Neither?
f(x) = x2 + 3
© Mark E. Damon - All Rights Reserved
eveneven
Scores
© Mark E. Damon - All Rights Reserved
Even, odd, or neither?
f(x) = 4x3 – 6x + 1
Even, odd, or neither?
f(x) = 4x3 – 6x + 1
© Mark E. Damon - All Rights Reserved
neitherneither
Home
© Mark E. Damon - All Rights Reserved
Even, odd, or neither?
Even, odd, or neither?
© Mark E. Damon - All Rights Reserved
oddodd
Home
© Mark E. Damon - All Rights Reserved
Even, odd, or neither?
f(x) =
Even, odd, or neither?
f(x) =
1x,2x
1x,1x22
© Mark E. Damon - All Rights Reserved
neitherneither
Home
© Mark E. Damon - All Rights Reserved
Even, odd, or neither?
f(x) =
Even, odd, or neither?
f(x) =
1x,1x
1x1,0
1x,1x
© Mark E. Damon - All Rights Reserved
oddodd
Home
© Mark E. Damon - All Rights Reserved
State I, D, C:
f(x) = x3 – 3x
State I, D, C:
f(x) = x3 – 3x
© Mark E. Damon - All Rights Reserved
Inc (-∞, -1)
Dec (-1, 1)
Inc (1, ∞)
Inc (-∞, -1)
Dec (-1, 1)
Inc (1, ∞)
Home
© Mark E. Damon - All Rights Reserved
$200$200
f(x) = f(x) = 9x2
© Mark E. Damon - All Rights Reserved
Dec (-∞, -3)
Inc (3, ∞)
Dec (-∞, -3)
Inc (3, ∞)
Home
© Mark E. Damon - All Rights Reserved
I, D, C
f(x) =
I, D, C
f(x) = 6xx
© Mark E. Damon - All Rights Reserved
inc (6, ∞)inc (6, ∞)
Home
© Mark E. Damon - All Rights Reserved
I, D, C:
f(x) =
I, D, C:
f(x) = 2
|8x|
© Mark E. Damon - All Rights Reserved
dec (-∞, -8)
Inc (-8, ∞)
dec (-∞, -8)
Inc (-8, ∞)
Home
© Mark E. Damon - All Rights Reserved
I, D, C:
f(x) = -3(x + 4)2 – 1
No Calculator!
I, D, C:
f(x) = -3(x + 4)2 – 1
No Calculator!
© Mark E. Damon - All Rights Reserved
Inc (-∞, -4)
Dec (-4, ∞)
Inc (-∞, -4)
Dec (-4, ∞)
Home
© Mark E. Damon - All Rights Reserved
f(x) = 3 – 2x
g(x) = 3x2 + 2
Find (f – g)(x)
f(x) = 3 – 2x
g(x) = 3x2 + 2
Find (f – g)(x)
© Mark E. Damon - All Rights Reserved
-3x2 – 2x + 1-3x2 – 2x + 1
Homes
© Mark E. Damon - All Rights Reserved
f(x) = 3 – 2x
g(x) = 3x2 + 2
Find (fg)(x)
f(x) = 3 – 2x
g(x) = 3x2 + 2
Find (fg)(x)
© Mark E. Damon - All Rights Reserved
-6x3 + 9x2 - 4x + 6-6x3 + 9x2 - 4x + 6
Home
© Mark E. Damon - All Rights Reserved
f(x) =
g(x) = 5x + 9
Find (f (g (x))
f(x) =
g(x) = 5x + 9
Find (f (g (x))
3x
© Mark E. Damon - All Rights Reserved
Home
12x5
© Mark E. Damon - All Rights Reserved
f(x) = 6 – 2x
g(x) = x2 + 3
Find (g ◦ f)(x)
f(x) = 6 – 2x
g(x) = x2 + 3
Find (g ◦ f)(x)
© Mark E. Damon - All Rights Reserved
4x2 – 24x + 39 4x2 – 24x + 39
Scores
© Mark E. Damon - All Rights Reserved
f(x) = 4x2 + 3
g(x) = 6x – 9
Find f(g(4))
f(x) = 4x2 + 3
g(x) = 6x – 9
Find f(g(4))
© Mark E. Damon - All Rights Reserved
903903
Home
© Mark E. Damon - All Rights Reserved
Describe the transformations
and graph:
f(x) = -3(x+1)2 - 4
Describe the transformations
and graph:
f(x) = -3(x+1)2 - 4
© Mark E. Damon - All Rights Reserved
Reflect over x, stretch of 3, left 1,
down 4
Reflect over x, stretch of 3, left 1,
down 4
Home
© Mark E. Damon - All Rights Reserved
Write the equation:
Parent: |x|
Reflect x, up 3, right 2
© Mark E. Damon - All Rights Reserved
f(x) = -|x – 2| + 3f(x) = -|x – 2| + 3
Home
© Mark E. Damon - All Rights Reserved
Describe the transformations:
g(x) = -.5f(x + 2)-8
Describe the transformations:
g(x) = -.5f(x + 2)-8
© Mark E. Damon - All Rights Reserved
Reflect x, shrink, left 2, down 8
Reflect x, shrink, left 2, down 8
Home
© Mark E. Damon - All Rights Reserved
© Mark E. Damon - All Rights Reserved
Home
© Mark E. Damon - All Rights Reserved
© Mark E. Damon - All Rights Reserved
Home
© Mark E. Damon - All Rights Reserved
Write the equation:Write the equation:
© Mark E. Damon - All Rights Reserved
f(x) = - | x + 3| + 1f(x) = - | x + 3| + 1
Home
© Mark E. Damon - All Rights Reserved
Home
© Mark E. Damon - All Rights Reserved
Write the equation:Write the equation:
© Mark E. Damon - All Rights Reserved
f(x) = - (x + 2)3 + 1f(x) = - (x + 2)3 + 1
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© Mark E. Damon - All Rights Reserved
© Mark E. Damon - All Rights Reserved
Home
© Mark E. Damon - All Rights Reserved
Find
If f(x) = 3x2 + 4x
Find
If f(x) = 3x2 + 4xh
)x(f)hx(f
© Mark E. Damon - All Rights Reserved
6x + 3h + 4 6x + 3h + 4
Scores
© Mark E. Damon - All Rights Reserved