Which is true about the equation of the graph shown?

The function has a positive leading coefficient

What is the end-behavior of the function y = -x 3 + 6x 2 + 7x

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) -> -∞ as x-> ∞

What is the end-behavior of the function y = x 6 - 7x 5 + 7x - 9

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) -> -∞as x-> ∞

Determine the intervals for which the function is increasing and decreasing.

Increasing (-∞, -2.26); decreasing (-2.26, -0.07); increasing (-0.07, ∞)

Increasing (-∞, -2.26) & decreasing (-2.26, ∞)

Decreasing (-∞, -0.07) & increasing (-0.07, ∞)

Decreasing (-∞, -2.26); increasing (-2.26, -0.07); decreasing (-0.07, ∞)

Identify the turning points of the function.

(-2.26, 0.407) is a relative maximum; (-0.0738, -10.036) is a relative minimum

(-2.26, 0.407) is a relative minimum; (-0.0738, -10.036) is a relative maximum

(1, 0) is a relative maximum; (0, -10) is a relative minimum

no relative maximum; (0, -10) is a relative minimum

Graphing Polynomials

Authored by Katy Rothenberger

Mathematics

9th Grade

CCSS covered

Used 33+ times

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25 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Identify the zeros:

x=-2, x=-1, x=0

x=-2, x=0

x=-1, x=0, x=2

x=-2, x=0, x=1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The function has an Even degree

The function has a Negative coefficient

The function has an Odd degree

The function has 3 real zeros

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Over the interval (−1, 2), the graph of the polynomial shown could be described as

decreasing

increasing

quadratic

complex

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

(0,0)

(0,25)

(0,125)

(0,5)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain of the function below?
x² + 2x - 3

[-3,∞)

[-3,2]

(-3, ∞)

(-∞,∞)

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Graphing Polynomials

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Identify the zeros:

Over the interval (−1, 2), the graph of the polynomial shown could be described as

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

What is the domain of the function below?
x² + 2x - 3

What is the domain of the function behind this text?

What is the range of the function?

How many turning points does this function have?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Graphing Polynomials

How many zeros does the polynomial function P(x) = 3x4+4x-8 have?

Identify the zeros:

Over the interval (−1, 2), the graph of the polynomial shown could be described as

Determine the y-intercept f(x) = x3 - 5x2 - 25x + 125

What is the domain of the function below? x2 + 2x - 3

What is the domain of the function behind this text?

What is the range of the function?

How many turning points does this function have?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

What is the domain of the function below?
x² + 2x - 3