1. 7.2 Graphing Polynomial Functions
Relative maximum
Relative minimum

2. Making a table to graph Graph the function f(x) = -x3 - 4x2 + 5
The graph will cross the x axis 3 or less times since the degree is 3.

3. Making a table to graph Graph the function f(x) = -x3 - 4x2 + 5
The graph
crosses
the x axis
3 times

4. Find the area where the function equals zero
f(x) = x4 – x3 - 4x2 + 1
Make a table

5. Find the area where the function equals zero
f(x) = x4 – x3 - 4x2 + 1
Make a table x
f(x)
( -2, 9)
( -1,
-1)
( 0, 1)
(1,
-3)
( 2,
-7)
( 3,
19)
( 4,
129)

6. Find the area where the function equals zero
f(x) = x4 – x3 - 4x2 + 1
Make a table
Where are the zeros?
between
-2 and -1
- 1and 0
0 and 1
2 and 3 x
f(x)
( -2, 9)
( -1,
-1)
( 0, 1)
(1,
-3)
( 2,
-7)
( 3,
19)
( 4,
129)

7. What are the Relative Maximum or Relative Minimum
It is an area where the highest or lowest points happen.
We make a table.
Graph the points and look for the highest and lowest points.

8. What are the Relative Maximum or Relative Minimum
Make the table for
f(x) = x3 – 4x2 + 5 x
f(x)
( -2,
-19)
(-1, 0)
( 0, 5)
( 1, 2)
( 2,
-3)
( 3,
-4)
( 4,
( 5,
30)

9. What are the Relative Maximum or Relative Minimum
Make the table for
f(x) = x3 – 4x2 + 5
between
-1 and 1
Relative Max
2 and 3
Relative Min. x
f(x)
( -2,
-19)
(-1, 0)
( 0, 5)
( 1, 2)
( 2,
-3)
( 3,
-4)
( 4,
( 5,
30)

10. Graph the function
Between what numbers are the zeros of the function?

11. Graph the function Between what numbers are the zeros of the function?
-7 and -6
-4 and -3
3 and 4

12. Graph the function Between what numbers are the Relative Max. and Min.
of the function?
Between
-6 and -5 R. Min
0 and 2 R. Max

13. Homework
Page 356
# 13 – 25 odd

14. Homework
Page 356
# 14 – 26 even