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Mathematics > Course Model Precalculus (Advanced Course) > Building Functions
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Mathematics | Course : Model Precalculus (Advanced Course)

Domain - Building Functions

Cluster - Build new functions from existing functions.

[PC.F-BF.B.5] - (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Resources:


  • Exponent
    The number that indicates how many times the base is used as a factor, e.g., in 43 = 4 x 4 x 4 = 64, the exponent is 3, indicating that 4 is repeated as a factor three times.
  • Logarithm
    The exponent that indicates the power to which a base number is raised to produce a given number. For example, the logarithm of 100 to the base 10 is 2.

Predecessor Standards:

  • 8.EE.A.1
    Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² x 3-5 = 3-3 = 1/33 = 1/27.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.F-BF.B.4
    Find inverse functions algebraically and graphically.
  • AI.F-BF.B.4.a
    Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.
  • MII.F-BF.B.4
    Find inverse functions algebraically and graphically.
  • MII.F-BF.B.4.a
    Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.
  • PC.F-BF.B.4
    Find inverse functions.
  • PC.F-BF.B.4.b
    (+) Verify by composition that one function is the inverse of another.
  • PC.F-BF.B.4.c
    (+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
  • PC.F-BF.B.4.d
    (+) Produce an invertible function from a non-invertible function by restricting the domain.