Lesson 64 Cube Root Functions
Cube Root Functions
-27
"-27"
Do Now: Find the value of each of the following:
a)
53
b)
(-5)3
c)
125
d)
-125
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Lesson 64 Cube Root Functions
2
Lesson 64 Cube Root Functions
y
y
3
+ c is the graph of y = 3 x translated UP “c” units
3
- c is the graph of y = 3 x translated
3
3
y = x + c is the graph of y = x translated to the
3
y = x - c is the graph of y = 3 x translated to the
“c” units
“c” units
3
5. y = - x is the graph of y = 3 x reflected over the x-axis.
3
3
6. y = c x means y = c x
If c increases, the curve becomes steeper.
If c decreases, the curve becomes less steep (flatter).
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Lesson 64 Cube Root Functions
1) Graphing f(x) =
Parent Cube Root Function
a) What is the domain of this function?
b) What is the range of this function?
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Lesson 64 Cube Root Functions
2) Graph
over the interval -8 < x < 8.
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the transformation(s) from the parent function f(x) =
.
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Lesson 64 Cube Root Functions
3) Graph
-4
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the transformation(s) from the parent function f(x) =
.
6
Lesson 64 Cube Root Functions
4) Graph
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the transformation(s) from the parent function f(x) =
.
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Lesson 64 Cube Root Functions
5)
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Lesson 64 Cube Root Functions
6)
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Lesson 64 Cube Root Functions
Homework
1) Graph h(x) =
over the interval -8 < x < 8.
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the transformation(s) from the parent function f(x) =
.
10
Lesson 64 Cube Root Functions
Homework
2) Graph g(x) =
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the transformation(s) from the parent function f(x) =
.
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Lesson 64 Cube Root Functions
Homework
3)
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