Library of Functions

          Ethan Pardue

f(x) = x²

  • Domain : All Reals
  • Range : [0,∞)
  • X-Intercepts : 0
  • Symmetry : Y-axis
  • Even / Odd : Even
  • Period : N/A
  • One-to-One : No
f(x) = x²

f(x) = x³

  • Domain : All Reals
  • Range : All Reals
  • X-Intercepts : 0
  • Symmetry : Origin
  • Even / Odd : Odd
  • Period : N/A
  • One-to-One : Yes
f(x) = x³

f(x) = |x|

  • Domain : All Reals
  • Range : [0,∞)
  • X-Intercepts : 0
  • Symmetry : Y-axis
  • Even / Odd : Even
  • Period : N/A
  • One-to-One : No
f(x) = |x|

f(x) = sin(x)

  • Domain : All Reals
  • Range : [-1,1]
  • X-Intercepts : Integral Multiples of π
  • Symmetry : Origin
  • Even / Odd : Odd
  • Period : 2π
  • One-to-One : No
f(x) = sin(x)

f(x) = cos(x)

  • Domain : All Reals
  • Range : [-1,1]
  • X-Intercepts : Odd Integral Multiples of π/2
  • Symmetry : Y-axis
  • Even / Odd : Even
  • Period : 2π
  • One-to-One : No
f(x) = cos(x)

f(x) = tan(x)

  • Domain : x ≠ Odd Multiples of π/2
  • Range : All Reals
  • X-Intercepts : Integral Multiples of π
  • Symmetry : Origin
  • Even / Odd : Odd
  • Period : π
  • One-to-One : No
f(x) = tan(x)

f(x) = sec(x)

  • Domain : x ≠ Odd Multiples of π/2
  • Range : (-∞,-1],[1,∞)
  • X-Intercepts : N/A
  • Symmetry : Y-axis
  • Even / Odd : Even
  • Period : 2π
  • One-to-One : No
f(x) = sec(x)

f(x) = 2^x

  • Domain : All Reals
  • Range : (0,∞)
  • X-Intercepts : N/A
  • Symmetry : N/A
  • Even / Odd : N/A
  • Period : N/A
  • One-to-One : Yes
f(x) = 2^x

f(x) = logv2x

  • Domain : (0,∞)
  • Range : All Reals
  • X-Intercepts : 1
  • Symmetry : N/A
  • Even / Odd : N/A
  • Period : N/A
  • One-to-One : Yes
f(x) = logv2x

f(x) = 1/x

  • Domain : x ≠ 0
  • Range : y ≠ 0
  • X-Intercepts : N/A
  • Symmetry : Origin
  • Even / Odd : Odd
  • Period : N/A
  • One-to-One : Yes
f(x) = 1/x

f(x) = √x

  • Domain : [0,∞)
  • Range : [0,∞)
  • X-Intercepts : 0
  • Symmetry : N/A
  • Even / Odd : N/A
  • Period : N/A
  • One-to-One : Yes
f(x) = √x

f(x) = √(a² - x²)

  • Domain : [-a,a]
  • Range : [0,a]
  • X-Intercepts : -a ; a
  • Symmetry : Y-axis
  • Even / Odd : Even
  • Period : N/A
  • One-to-One : No
f(x) = √(a² - x²)

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