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Mathematics > Course Model Mathematics III (Integrated Pathway) > Interpreting Functions

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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Interpreting Functions

Cluster - Analyze functions using different representations.

[MIII.F-IF.C.7.e] - Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.*


Resources:


  • Exponential function
    A function of the form y = a bx where a > 0 and either 0 < b < 1 or b > 1. The variables do not have to be x and y. For example, A = 3.2  (1.02)t is an exponential function.
  • Logarithmic function
    Any function in which an independent variable appears in the form of a logarithm; they are the inverse functions of exponential functions.
  • Midline
    In the graph of a trigonometric function, the horizontal line halfway between its maximum and minimum values.
  • Trigonometric function
    A function (as the sine, cosine, tangent, cotangent, secant, or cosecant) of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • PC.F-TF.A.4
    (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
  • PC.F-TF.B.6
    (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.