Basic HTML Version
© 2014 Pacific Crest
109
●
Not picking the appropriate graphing window
Example:
Analyze
the function
1
( )
12
f x
x
=
−
The function is decreasing with a
y
-intercept at
1 0,
12
−
Why?
The most important point
on the graph of the function
is near the point where it is
undefined. A better graph is
shown here.
This permits us to see that the
function is decreasing from –∞
to 12 and decreasing from 12
to ∞ with a vertical asymptote
at
x
= 12 and a horizontal
asymptote at
y
= 0.
A
re You Ready?
Before continuing, you should be able to ...
I can...
OR
Here’s my question...
identify the domain of a function.
identify the intercepts of a function.
transform an equation that defines a
function into functional notation.
analyze the graph of a function.
2.5 Analyzing a Function