Unit 1: Functions

Math II

What you should already know?

  • graphing coordinate points
  • solving basic linear equations
  • x and y intercepts (finding and graphing)
  • number sets (real numbers, integers, natural numbers, etc.)
  • graphing linear equations
  • absolute value
  • solving and graphing linear inequalities
  • definition of a "constant"


F-IF. 2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.


Learning Targets:

  • I can use function notation to describe a function relation.
  • I can evaluate functions for inputs from their domains.
  • I can interpret statements that use function notation in terms of a context.

F-IF.4

Introduce key features of functions including: intercepts; intervals where the

function is increasing, decreasing, positive, or negative; relative maximums and

minimums; symmetries; end behavior.


Learning Targets:

  • I can locate (on a graph) and solve for (algebraically) x and y intercepts.
  • I can describe an interval in set notation and inequality notation.
  • I can describe areas of increasing and decreasing on a graph.
  • I can describe areas of positive or negative on a graph.
  • I can find relative maximums and minimums on a graph.
  • I can describe the symmetry of a graph.
  • I can describe the end behavior of a graph.


F-IF.5

Relate the domain of a function to its graph and its practical set in a real world

problem.


Learning Targets:

  • I can relate the domain of a function to its graph.
  • I can relate the domain of a function to its practical set in a real world problem.



F-IF.7

Graph functions expressed symbolically and show key features of the graph, by

hand in simple cases and using technology for more complicated cases.


  • b. Graph square root, cube root, and piecewise-defined functions, including step


functions and absolute value functions


Learning Targets:

  • I can graph functions given an equation.
  • I can show key features of graphs.
  • I can graph piecewise-defined functions.
  • I can graph step functions.
  • I can graph absolute value functions.


F-IF.9

Compare properties of two functions each represented in a different way

(algebraically, graphically, numerically in tables, or by verbal descriptions). For

example, given a graph of one quadratic function and an algebraic expression for

another, say which has the larger maximum.


Learning Targets:

  • I can compare functions given by different representations.


F-BF.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), and f(x + k)

for specific values of k (both positive and negative); find the value of k given the

graphs.


Learning Targets:

  • I can describe the transformations possible using a constant.