Lesson 1: Functions and Their Graphs

How do we determine if a relation is a function (mapping and from a graph)?
How do we evaluate functions?
What is the domain and range of a given function?
How do we graph piecewise functions?

Function,
relation,
evaluate,
domain,
range,
independent variable,
dependent variable,
input,
output,
arrow diagram,
graphs,
vertical line test,
linear,
constant,
piecewise,
power,
absolute values,
continuous,
step,
root,
reciprocal functions

F.IF.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 of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
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.
F.IF.4 - For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
F.IF.5 - Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

To define a function verbally, algebraically, visually, and numerically.
DOK 1-3

Show students the different ways one function can be represented.
Show students different examples of mapping relations to determine if they are functions and how that relates to the vertical line test.
Show students the relationship between finding domain from a function and the graph of that function.

Exit Tickets and Quiz

Algebra and Trigonometry by Stewart, Redlin, and Watson.

SMART Board

Online graphing calculator