12 basic Functions

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Last updated 5:16 AM on 9/17/26
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12 Terms

1
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Identity function

f(x)= x

D: all real

R: all real

<p>f(x)= x </p><p>D: all real</p><p>R: all real</p>
2
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Squaring Function

f(x)= x^2

D: all real

R: [0, infinity)

<p>f(x)= x^2</p><p>D: all real</p><p>R: [0, infinity)</p>
3
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Cubing Function

f(x)= x^3

D: all real

R: all real

<p>f(x)= x^3</p><p>D: all real</p><p>R: all real</p>
4
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Reciprocal or Rational Function

f(x)= 1/x

D: (-infinity, 0) U (0, infinity)

R: (-infinity, 0) U (0, infinity)

<p>f(x)= 1/x</p><p>D: (-infinity, 0) U (0, infinity) </p><p>R: (-infinity, 0) U (0, infinity)</p>
5
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Square Root Function

f(x)=√x

D: [0, infinity)

R: [0, infinity)

<p>f(x)=√x</p><p>D: [0, infinity)</p><p>R: [0, infinity)</p>
6
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Exponential Function

f(x)= e^x

D: all real

R: (0, infinity)

<p>f(x)= e^x </p><p>D: all real</p><p>R: (0, infinity)</p>
7
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Logarithmic function

f(x)= lnx

D: (0, infinity)

R: all real

<p>f(x)= lnx </p><p>D: (0, infinity) </p><p>R: all real</p>
8
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Sine Function

f(x)= sin(x)

D: all real

R: [-1, 1]

<p>f(x)= sin(x)</p><p>D: all real</p><p>R: [-1, 1]</p>
9
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Cosine Function

f(x)= cos(x)

D: all real

R: [-1, 1]

<p>f(x)= cos(x)</p><p>D: all real</p><p>R: [-1, 1]</p>
10
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Absolute Value Function

f(x) = |x|

D: all real

R: [0, infinity)

<p>f(x) = |x|</p><p>D: all real</p><p>R: [0, infinity)</p>
11
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Greatest Integer Function

f(x)= int(x)

D: all real

R: all integers

<p>f(x)= int(x)</p><p>D: all real </p><p>R: all integers</p>
12
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Logistic Function

f(x0= 1/ 1+e^-x

D: all real

R: (0, 1)

<p>f(x0= 1/ 1+e^-x</p><p>D: all real</p><p>R: (0, 1)</p>