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

Domain - Interpreting Functions

Cluster - Analyze functions using different representations.

[PC.F-IF.C.7.d] - (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*

Resources:


  • Function
    A mathematical relation for which each element of the domain corresponds to exactly one element of the range.

Predecessor Standards:

  • 8.F.A.1
    Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. [Note: Function notation is not required in grade 8.]

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.F-IF.A.1
    Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output (range) of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
  • AI.F-IF.C.7.a
    Graph linear and quadratic functions and show intercepts, maxima, and minima.*
  • AI.F-IF.C.7.b
    Graph piecewise-defined functions, including step functions and absolute value functions.*
  • AII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
  • AII.F-BF.B.3
    Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include simple rational, radical, logarithmic, and trigonometric functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph using technolog
  • MI.F-IF.A.1
    Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
  • MI.F-IF.C.7.a
    Graph linear functions and show intercepts.*
  • MII.F-IF.C.7.b
    Graph piecewise-defined functions, including step functions and absolute value functions.*
  • MIII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
  • MIII.F-BF.B.3
    Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include simple rational, radical, logarithmic, and trigonometric functions. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.