The end behavior of the following is graph is ______________ .

x → −∞, y → +∞ x → +∞, y → +∞

x → −∞, y → - ∞ x → +∞, y → +∞

x → −∞, y → - ∞ x → +∞, y → - ∞

Even degree, positive leading coefficient.

Odd degree, positive leading coefficient.

Odd degree, negative leading coefficient.

Even degree, negative leading coefficient.

What type of polynomial could be represented by this graph?

Even Degree - Leading Coefficient

Even Degree + Leading Coefficient

Odd Degree - Leading Coefficient

Odd Degree + Leading Coefficient

Use the end behavior to determine whether the leading coefficient is positive or negative and whether the degree is even or odd.

Leading Coefficient Negative Degree - Odd

Leading Coefficient Positive Degree - Even

Leading Coefficient Positive Degree - Odd

Leading Coefficient Negative Degree - Even

Use the end behavior to determine if the leading coefficient is positive or negative and whether the degree is even or odd.

Leading Coefficient Positive Degree - Odd

Leading Coefficient Positive Degree - Even

Leading Coefficient Negative Degree - Even

Leading Coefficient Negative Degree - Odd

Use the end behavior to determine if the leading coefficient is positive or negative and whether the degree is even or odd.

Leading Coefficient Negative Degree - Even

Leading Coefficient Positive Degree - Even

Leading Coefficient Positive Degree - Odd

Leading Coefficient Negative Degree - Odd

Describe the end behavior of the graph.

x → +∞, y→ +∞ and x→ -∞, y→ +∞

x → +∞, y→ +∞ and x→ -∞, y→ -∞

x → +∞,y→ -∞ and x→ -∞, y→ -∞

Describe the end behavior of the graph.

x → +∞,y→ +∞ and x→ -∞, y→ -∞

x → +∞, y→ -∞ and x→ -∞, y→ -∞

x → +∞, y→ +∞ and x→ -∞, y→ +∞

x → +∞, y→ +∞ and x→ -∞, y→ 0

Describe the end behavior of the graph.

x → +∞, y→ -∞ and x → -∞,y→ -∞

x → +∞, y→ +∞ and x→ -∞, y→ +∞

x → +∞, y→ +∞ and x→ -∞, y→ 0

x → +∞,y→ +∞ and x→ -∞, y→ -∞

Determine the end behavior of the graph of f(x) = 3x 4 + 2x - 5 Note: f(x)=y

As x →∞, f(x) →∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →-∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →-∞.

Which of the following statement are false.

There are more relative maximums than there are relative minimums.

There is a relative min at the point (8,0)

There is another relative min at the point (0,-7.5)

There is a relative max at the point (5,2.5)

Characteristics of Polynomial Graphs

10th - 11th Grade

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40 Qs

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Characteristics of Polynomial Graphs

Quiz

•

Mathematics

•

10th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.IF.C.7, HSA.REI.D.10, HSF-IF.C.7A

Standards-aligned

Emily Carter

Used 33+ times

FREE Resource

40 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(-2.55, 0), (2.55, 0)

(-3, 0), (-2, 0), (2, 0), (3, 0)

(0, 36)

(0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At what x-value does a relative maximum occur?

-1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At what x-value does a relative minimum occur?

-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the end behavior of
f(x) = -5x⁴- 2x² + 8

Left side: UP

Right side: UP

Left Side: Up

Right side: Down

Left side: Down

Right side: Up

Left side: Down

Right side: Down

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

Left side: Up

Right side: Down

Left side: Down

Right side: Up

Left side: Up

Right side: Down

Left side: Down

Right side: Down

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

4th degree polynomial with a positive leading coefficient

4th degree polynomial with a negative leading coefficient

3rd degree polynomial with a positive leading coefficient

3rd degree polynomial with a negative leading coefficient

Tags

CCSS.HSA.APR.A.1

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Characteristics of Polynomial Graphs

40 questions

At what x-value does a relative maximum occur?

At what x-value does a relative minimum occur?

Describe the end behavior of
f(x) = -5x⁴- 2x² + 8

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

The end behavior of the following is graph is ______________ .

In the above graph complete the following end behavior:
As x --> -∞, f(x) -->
As x --> +∞, f(x) -->

The polynomial is...

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Discover more resources for Mathematics

Characteristics of Polynomial Graphs

40 questions

At what x-value does a relative maximum occur?

At what x-value does a relative minimum occur?

Describe the end behavior off(x) = -5x4- 2x2 + 8

Describe the end behavior off(x) = 2x2 + 6x5 + 10x

The end behavior of the following is graph is ______________ .

In the above graph complete the following end behavior:As x --> -∞, f(x) --> ____As x --> +∞, f(x) --> ____

The polynomial is...

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the end behavior of
f(x) = -5x⁴- 2x² + 8

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

In the above graph complete the following end behavior:
As x --> -∞, f(x) -->
As x --> +∞, f(x) -->