Standards Map

Mathematics > Course Model Mathematics II (Integrated Pathway) > Building Functions
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Mathematics | Course : Model Mathematics II (Integrated Pathway)

Domain - Building Functions

Cluster - Build new functions from existing functions.

[MII.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 exponential, quadratic, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.

Resources:


  • Absolute value
    The absolute value of a real number is its (non-negative) distance from 0 on a number line.
  • 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.
  • Function
    A mathematical relation for which each element of the domain corresponds to exactly one element of the range.
  • Quadratic function
    A function that can be represented by an equation of the form y = ax2 + bx + c, where a, b, and c are arbitrary, but fixed, numbers and a 0. The graph of this function is a parabola.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.F-IF.A.2
    Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. For example, given a function representing a car loan, determine the balance of the loan at different points in time.