Standards Map

Mathematics > Course Model Algebra I (Traditional Pathway) > Building Functions
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Mathematics | Course : Model Algebra I (Traditional Pathway)

Domain - Building Functions

Cluster - Build a function that models a relationship between two quantities.

[AI.F-BF.A.1.b] - Combine standard function types using arithmetic operations.* For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

Resources:


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

Predecessor Standards:

  • 8.F.B.4
    Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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.