# 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

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.