Standards Map

Mathematics > Course Model Algebra I (Traditional Pathway) > Interpreting Functions

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Mathematics | Course : Model Algebra I (Traditional Pathway)

Domain - Interpreting Functions

Cluster - Analyze functions using different representations.

[AI.F-IF.C.7.e] - Graph exponential functions showing intercepts and end behavior.*


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.

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-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 linear, quadratic, exponential, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
  • AI.F-LE.A.3
    Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.*
  • AII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
  • AII.F-TF.B.5
    Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*