parent functions

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Algebra

10th

Last updated 12:22 AM on 12/11/22
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33 Terms

1
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Linear
f(x) = x
f(x) = x
2
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Domain of LINEAR
All real numbers
All real numbers
3
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Range of LINEAR
All real numbers
All real numbers
4
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Quadratic
f(x) = x^2
f(x) = x^2
5
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Domain of QUADRATIC
All real numbers
All real numbers
6
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Range of QUADRATIC
[0, ∞)
[0, ∞)
7
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Cubic
f(x) = x^3
f(x) = x^3
8
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Domain of CUBIC
All real numbers
All real numbers
9
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Range of CUBIC
All real numbers
All real numbers
10
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Square Root
f(x) = √x
f(x) = √x
11
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Domain of SQUARE ROOT
[0,∞)
[0,∞)
12
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Range of SQUARE ROOT
[0,∞)
[0,∞)
13
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Cube Root
f(x) = 3√x
f(x) = 3√x
14
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Domain of CUBE ROOT
All real numbers
All real numbers
15
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Range of CUBE ROOT
All real numbers
All real numbers
16
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Absolute Value
f(x) = |x|
f(x) = |x|
17
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Domain of ABSOLUTE VALUE
All real numbers
All real numbers
18
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Range of ABSOLUTE VALUE
[0, ∞)
[0, ∞)
19
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Rational
f(x) = 1/x
f(x) = 1/x
20
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Domain of RATIONAL
(-∞, 0) U (0, ∞)
(-∞, 0) U (0, ∞)
21
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Range of RATIONAL
(-∞, 0) U (0, ∞)
(-∞, 0) U (0, ∞)
22
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Exponential
f(x) = 2^x
f(x) = 2^x
23
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Domain of EXPONENTIAL
(-∞, ∞)
(-∞, ∞)
24
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Range of EXPONENTIAL
(0, ∞)
(0, ∞)
25
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Constant
f(x)=c
f(x)=c
26
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Domain of CONSTANT
All real numbers
All real numbers
27
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Range of CONSTANT
[c]
[c]
28
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Logarithmic
f(x)=lnx
f(x)=lnx
29
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Domain of LOGARITHMIC
(0,∞)
(0,∞)
30
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Range of LOGARITHMIC
All real numbers
All real numbers
31
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Rational Square
f(x)=1/x^2
f(x)=1/x^2
32
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Domain of RATIONAL SQUARE
(-∞, 0) U (0, ∞)
(-∞, 0) U (0, ∞)
33
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Range of RATIONAL SQUARE
(0,∞)
(0,∞)