12 basic functions

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12 Terms

1
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Linear

F(x) = x

Domain = (-inf, inf)

Range = (-inf, inf)

<p>F(x) = x </p><p>Domain = (-inf, inf)</p><p>Range = (-inf, inf)</p>
2
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Quadratic

F(x) = x²

Domain (-inf, inf)

Range [0, inf)

<p>F(x) = x² </p><p>Domain (-inf, inf)</p><p>Range [0, inf)</p>
3
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Cubic

F(x) = x³

Domain: (-inf, inf)

Range (-inf, inf)

<p>F(x) = x³ </p><p>Domain: (-inf, inf)</p><p>Range (-inf, inf)</p>
4
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Reciprocal

f(x) = 1/x

Domain: (-inf, 0) U (0, inf)

Range: (-inf, 0) U (0, inf)

<p>f(x) = 1/x</p><p>Domain: (-inf, 0) U (0, inf)</p><p>Range: (-inf, 0) U (0, inf)</p>
5
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Radical

f(x) = √x

Domain: [0, inf)

Range: [0, inf)

<p>f(x) = <span style="color: rgb(232, 232, 232)">√x</span></p><p><span style="color: rgb(232, 232, 232)">Domain: [0, inf)</span></p><p><span style="color: rgb(232, 232, 232)">Range: [0, inf)</span></p><p></p>
6
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Absolute Value

f(x): |x|

Domain: (-inf, inf)

Range: [0, inf)

<p>f(x): |x|</p><p>Domain: (-inf, inf)</p><p>Range: [0, inf)</p><p></p>
7
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Exponential

f(x) = e^x

Domain: (-inf, inf)

Range: (0, inf)

<p>f(x) = e^x </p><p>Domain: (-inf, inf)</p><p>Range: (0, inf)</p>
8
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Logarithmic

f(x) = log x or ln x

Domain: (0, inf)

Range: (-inf, inf)

<p>f(x) = log x or ln x</p><p>Domain: (0, inf)</p><p>Range: (-inf, inf)</p>
9
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Logistic

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

Domain: (-inf, inf)

Range: (0, 1) or (0, L)

<p>f(x) = 1/1+e^-x</p><p>Domain: (-inf, inf)</p><p>Range: (0, 1) or (0, L)</p>
10
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Sine

f(x) = sin x

Domain: (-inf, inf)

Range: [-1, 1]

<p>f(x) = sin x</p><p>Domain: (-inf, inf)</p><p>Range: [-1, 1]</p>
11
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Cosine

f(x) = cos x

Domain: (-inf, inf)

Range: [-1, 1]

<p>f(x) = cos x</p><p>Domain: (-inf, inf)</p><p>Range: [-1, 1]</p>
12
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Floor integer

f(x) = ⌊x⌋

Domain: (-inf, inf)

Range: All integers

<p>f(x) =<span style="color: rgb(191, 191, 191)"> ⌊x⌋</span></p><p><span style="color: rgb(191, 191, 191)">Domain: (-inf, inf)</span></p><p><span style="color: rgb(191, 191, 191)">Range: All integers</span></p>