Library of Functions

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9 Terms

1
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<p>f(x)=[x]</p>

f(x)=[x]

Greatest Integer

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y∈Z}

Range (Int.): N/A

2
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<p>f(x)=c</p>

f(x)=c

Constant

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y=c}

Range (Int.): N/A

3
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<p>f(x)=x</p>

f(x)=x

Identity

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y∈R}

Range (Int.): (-∞,∞)

4
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<p>f(x)=|x|</p>

f(x)=|x|

Absolute Value

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y≥0}

Range (Int.): [0,∞)

5
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<p>f(x)=x²</p>

f(x)=x²

Quadratic

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y≥0}

Range (Int.): [0,∞)

6
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<p>f(x)=√x</p>

f(x)=√x

Square Root

Domain (Set): {x|x≥0}

Domain (Int.): [0,∞)

Range (Set): {y|y≥0}

Range (Int.): [0,∞)

7
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<p>f(x)=1/x</p>

f(x)=1/x

Reciprocal

Domain (Set): {x|x∈R} and x≠0 or {x|x≠0}

Domain (Int.): (−∞,0) ∪ (0,∞)

Range (Set): {y|y∈R} and y≠0 or {y|y≠0}

Range (Int.): (−∞,0) ∪ (0,∞)

8
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<p>f(x)=x³</p>

f(x)=x³

Cubic

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y∈R}

Range (Int.): (-∞,∞)

9
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<p>f(x)=√x (cube root)</p>

f(x)=√x (cube root)

Cube Root

Domain (Set): {x|x∈R}

Domain (Int.): (-∞,∞)

Range (Set): {y|y∈R}

Range (Int.): (-∞,∞)