1. The Graph of a function Objectives: Identify the graph of a function
Obtain information from or about the graph of a function

2. Graph of the Function
In applications, a graph often demonstrates more clearly the relationship between two variables then say an equation or table would.
The graph of the function is the set of points in the xy-plane that satisfies the equation.
Not every collection of points in the xy-plane represents the graph of a function. The graph must satisfy the Vertical Line Test: a set of points in the xy-plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.

3. EX 1: Use the graph of the function f given below to answer parts a - k
a) Find
b) Is positive or negative ?
c) For what numbers x is ?
d) What is the domain of ? e) What is the range of ?
f) Is a function?

4. EX: Use the graph of the function f given below to answer parts a - k
g) What are the x-intercepts?
h) What is the y-intercept?
i) How often does the line intersect the graph?
j) For what value of x does
k) What type of symmetry?

5. EX 2: Answer the questions about the given function
a) Is the point on the graph of ?
b) If , what is ? What point is on the graph of ?
c) If , what is ? What point(s) are on the graph of ?

6. EX 2: Answer the questions about the given function
d) What is the domain of ?
e) List the x-intercepts, if any, of the graph of
f) List the y-intercepts, if any, of the graph of