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 is the absolute minimum point on the polynomial graph?

There is not an absolute minimum

What are the increasing and decreasing intervals of the graph?

Increasing = (-∞, -1.5) & (0, 1.5) Decreasing = (-1.5, 0) & (1.5, ∞)

Increasing = (-1.5, 0) & (1.5, ∞) Decreasing = (-∞, -1.5) & (0, 1.5)

Increasing = (-∞, -1.5) & (1.5, ∞) Decreasing = (-1.5, 0) & (0, 1.5)

Increasing = (-1.5, 0) & (0, 1.5) Decreasing = (-∞, -1.5) & (1.5, ∞)

What are the increasing and decreasing intervals of the graph?

Increasing = (-∞,-3), (-1,2), (4, ∞) Decreasing = (-3,-1), (2,4)

Increasing = (-3,-1), (2,4) Decreasing = (-∞,-3), (-1,2), (4, ∞)

Increasing = (-∞,-3), (-1,2), Decreasing (-3,-1), (2,4), (4, ∞)

Increasing = (-∞, 2), (-3, 1), (-1, ∞) Decreasing (2, -3), (1, -1)

What are the extrema of the graph?

Max = (-3, 2), (2, 1) Min = (-1, -3), (4, -1)

Max = (2, -3), (1, 2) Min = (-3, -1), (-1, 4)

Max = (-3, -1), (-1, 4) Min = (2, -3), (1, 2)

Max = (-1, -3), (4, -1) Min = (-3, 2), (2, 1)

Polynomial Graphs

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7C, 8.F.A.1, HSA.APR.B.3

+3

Standards-aligned

Kimberly Alves

Used 5+ times

FREE Resource

48 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Left side: Rises
Right side: Rises

Left Side: Rises
Right side: Falls

Left side: Falls
Right side: Rises

Left side: Falls
Right side: Falls

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a 4th degree polynomial function with:
a positive leading coefficient
zeros: 9, 3, -2, 0

y = x(x - 9)(x - 3)(x + 2)

y = x(x + 9)(x + 3)(x - 2)

y = -x(x - 9)(x - 3)(x + 2)

y = -x(x + 9)(x + 3)(x - 2)

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

-1

1

5

6

What degree is the function?

1

2

4

10

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the leading coefficient positive or negative

positive

negative

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Even or Odd degree?

even

odd

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

-4, -1, 3

3, -3, 4, 1

4, 1, -3

3, -4, -1, 3

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Polynomial Graphs

48 questions

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

Write a 4th degree polynomial function with:
a positive leading coefficient
zeros: 9, 3, -2, 0

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

What degree is the function?

Is the leading coefficient positive or negative

Even or Odd degree?

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

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

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

Identity the domain and the range of the linear graph.

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Polynomial Graphs

48 questions

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

Write a 4th degree polynomial function with:*a positive leading coefficient*zeros: 9, 3, -2, 0

What is the y-intercept?f(x) = -x4 + x3 + 5x2 + x + 6

What degree is the function?

Is the leading coefficient positive or negative

Even or Odd degree?

What are the zeros of the polynomial y = 3(x + 4)(x + 1)(x - 3)?

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

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

Identity the domain and the range of the linear graph.

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

Write a 4th degree polynomial function with:
a positive leading coefficient
zeros: 9, 3, -2, 0

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

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

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