Name: __________________________________________
Int Math 3 Notes (Sec.4-1)
1
Classify –2x4 – x3 + 8x2 + 12 by degree.
2
Classify 8x4 + 7x3 + 5x2 + 8 by number of
terms.
3
Write –2x2(–5x2 + 4x3) in standard form.
Consider the leading term of each polynomial function. What is the end behavior of the
graph?
4
3
−3x − x
3
The leading term is −3x .
down and down.
3
The leading term is −3x .
up and down.
3
The leading term is −3x .
down and up.
3
The leading term is −3x .
and up.
A
B
C
D
5
8
7
Since n is odd and a is negative, the end behavior is
Since n is odd and a is negative, the end behavior is
Since n is odd and a is negative, the end behavior is
Since n is odd and a is negative, the end behavior is up
6
5x − 2x − 8x + 1
A
B
C
D
8
The leading term is 5x .
up and up.
8
The leading term is 5x .
and down.
8
The leading term is 5x .
down and up.
8
The leading term is 5x .
down and down.
Since n is even and a is positive, the end behavior is
Since n is even and a is positive, the end behavior is up
Since n is even and a is positive, the end behavior is
Since n is even and a is positive, the end behavior is
1
Name: ______________________
6
5
3
−3x + 9x + 5x + 3
A
B
C
D
7
4
ID: A
5
The leading term is −3x .
down and up.
5
The leading term is −3x .
up and down.
5
The leading term is −3x .
and up.
5
The leading term is −3x .
down and down.
What is the graph of y =
Since n is odd and a is negative, the end behavior is
Since n is odd and a is negative, the end behavior is
Since n is odd and a is negative, the end behavior is up
Since n is odd and a is negative, the end behavior is
1 3
x
4
A
C
B
D
2
Name: ______________________
8
ID: A
3
Graph y = 3(x + 2) − 3 and describe the end behavior.
A
The end behavior is
up and down.
C
The end behavior is
up and down.
B
The end behavior is
down and up.
D
The end behavior is
down and up.
3
Name: ______________________
9
ID: A
3
Graph y = 2x − x . How many turning points are there?
A There are two turning points.
C There are no turning points.
B
There are no turning points.
There are two turning points.
D
What is the degree of the polynomial that generates the given data?
10
x
–6
–2
0
2
6
y
–726
–34
0
18
582
A
B
cubic model
linear model
quadratic model
none of these
C
D
4
Name: ______________________
ID: A
11
x
–7
–3
0
3
7
y
1344
108
0
–126
–1442
A
B
cubic model
quadratic model
linear model
none of these
C
D
5