AnswersINMT3 Integrated Math 3 Sem 1 26-27Graphs of Polynomial Functions

Graphs of Polynomial Functions Answers

15 verified answers1 views
1
Free Preview

Explain how each of the added terms above would change the graph.

Answer:

The degree is odd, so the graph has ends that go in opposite directions. A negative coefficient means the graph rises on the left and falls on the right. Adding –x8 changes the degree to even, so the ends go in the same direction. Adding 5x7 changes the leading coefficient to positive, so the graph falls on the left and rises on the right.

2
Free Preview

As [image 1] , then [image 2] positive infinity.✔ negative infinity.neither.

Question illustration
A
positive infinity.
B
✔ negative infinity.
C
neither.
3

Which graph best represents the population described?

A
Option
Option A
B
Option
Option B
C
Option
Option C
4

The sign of the leading coefficient for the polynomial equation of the graph is ✔ negativepositivezero.

A
✔ negative
B
positive
C
zero
5

This graph has turning point(s).

Answer:

1

6

Possible degrees for this graph include:

A
4
B
5
C
6
D
7
7

Question text not available

Answers:
Selection 1:negative infinity.
Selection 2:negative infinity.
8

What is the end behavior of this function? As [image 1] , then [image 2] positive infinity.✔ negative infinity.neither.

Question illustration
Answers:
Selection 1:negative infinity.
Selection 2:negative infinity.
9

What are the possible degrees of the polynomial function in the graph?

A
2
B
3
C
4
D
5
E
6
F
7
G
8
10

What are the possible degrees for the equation of this graph?

A
even degrees of two or greater
B
odd degrees of three or greater
C
even degrees of four or greater
D
odd degrees of five or greater
11

The equation for this graph has a leading coefficient that is positive✔ negativezero.

A
positive
B
✔ negative
C
zero
12

A function is a fifth-degree polynomial. How many turning points can it have?

A
exactly four
B
exactly five
C
four or less
D
five or less
13

Which of the following statements are true about graphs of polynomial functions? Check all that apply.

A
The local maximum and local minimum always occur at a turning point.
B
The local maximum is the x-value of the coordinate at that point.
C
The ends of an even-degree polynomial either both approach positive infinity or both approach negative infinity.
14

Which of the following terms, when added to the given polynomial, will change the end behavior?y = –2x7 + 5x6 – 24

A
–x8
B
–3x5
C
5x7
D
1,000
E
–300
15

Reread your explanation. Which important information did you include?

A
The degree is odd, so the graph has ends that go in opposite directions. A negative coefficient means the graph rises on the left and falls on the right.
B
Adding –x8 changes the degree to even, so the ends go in the same direction.
C
Adding 5x7 changes the leading coefficient to positive, so the graph falls on the left and rises on the right.

Did you find these answers helpful?

More from this Course

Assignment
16 verified answers

Solving Polynomial Equations using Technology

Assignment
13 verified answers

Graphs of Polynomial Functions

Assignment
12 verified answers

Solving One-Variable Equations with Systems