# Unit 1: Functions

## 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.