12 Basic Functions

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Last updated 12:54 PM on 8/25/26
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9 Terms

1
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Identity Function

f(x) = x

Domain = (-∞, ∞)

Range = (-∞, ∞)

2
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Squaring Function

f(x) = x²

Domain = (-∞, ∞)

Range = [0, ∞)

3
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Cubing Function

f(x) = x³

Domain = (-∞, ∞)

Range = (-∞, ∞)

4
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Absolute Value Function

f(x) = |x| = abs (x)

Domain = (-∞, ∞)

Range = [0, ∞)

5
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Reciprocal Function

f(x) = 1/x

Domain = (-∞, 0) U (0, ∞)

Range = (-∞, 0) U (0, ∞)

6
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Square Root Function

f(x) = √x

Domain = [0, ∞)

Range = [0, ∞)

7
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Exponential Growth Function

f(x) = e^x

Domain = (-∞, ∞)

Range = (0, ∞)

8
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Basic Logistic Function

f(x) = 1/ 1+e^-x

Domain = (-∞, ∞)

Range = (0, 1)

9
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Natural Logarithmic Function

f(x) = In x

Domain = (0, ∞)

Range = (-∞,∞)