( − ∞ , 0 ) \left(-\infty,0\right) ( − ∞ , 0 )

( − ∞ , 1.5 ] \left(-\infty,1.5\right] ( − ∞ , 1 . 5 ]

( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ )

( − ∞ , − 4 ] \left(-\infty,-4\right] ( − ∞ , − 4 ]

approximately x = - 3.2 and 3.2

( 3 , ∞ ] \left(3,\infty\right] ( 3 , ∞ ]

( − ∞ , 3 ] \left(-\infty,3\right] ( − ∞ , 3 ]

( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ ) All Reals

[ 4 , ∞ ) \left[4,\infty\right) [ 4 , ∞ )

What are the increasing intervals?

(- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)

What are the zeros of f ( x ) = − 2 x ( x + 1 ) ( x − 3 ) ( x + 2 ) f\left(x\right)=-2x\left(x+1\right)\left(x-3\right)\left(x+2\right) f ( x ) = − 2 x ( x + 1 ) ( x − 3 ) ( x + 2 )

− 2 , − 1 , 0 , 3 -2,\ -1,\ 0,\ 3 − 2 , − 1 , 0 , 3

− 2 , − 1 , 2 , 3 -2,\ -1,\ 2,\ 3 − 2 , − 1 , 2 , 3

− 2 , − 1 , 3 -2,\ -1,\ 3 − 2 , − 1 , 3

− 3 , 0 , 1 , 2 -3,\ 0,\ 1,\ 2 − 3 , 0 , 1 , 2

Polynomial Graphs

Authored by Mallory Decker

Mathematics

11th - 12th Grade

CCSS covered

Used 14+ times

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38 questions

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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

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

3 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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Left side: Up

Right side: Down

Left side: Up

Right side: Up

Left side:Down

Right side: Down

Left side: Down

Right side: Up

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 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)

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write a quadratic function that has the following characteristics:
negative leading coefficient
ONLY zero: 7

y = -(x + 7)(x - 7)

y = -(x - 7)²

y = -(x + 7)²

y = -(x - 7)⁴

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.2

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a zero of a polynomial function has multiplicity 4 that means:

The x intercept is at (4, 0)

The graph will "bounce back" at that zero

The graph will "pass through" at that zero

Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.B.3

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Polynomial Graphs

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

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

Write a quadratic function that has the following characteristics:
negative leading coefficient
ONLY zero: 7

If a zero of a polynomial function has multiplicity 4 that means:

Which equation MOST LIKELY matches the graph?

What is the degree of the function graphed here?

Is the leading coefficient positive or negative

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Polynomial Graphs

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

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

Write a quadratic function that has the following characteristics:*negative leading coefficient*ONLY zero: 7

If a zero of a polynomial function has multiplicity 4 that means:

Which equation MOST LIKELY matches the graph?

What is the degree of the function graphed here?

Is the leading coefficient positive or negative

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

Write a quadratic function that has the following characteristics:
negative leading coefficient
ONLY zero: 7