Which description best represents the end behavior of the function f(x) = - x* + 5x³ – 2r+5?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which description best represents the end behavior of the function
f(x) = -x* +5x³ - 2x +5?
Hint: Use the examples in the table to help you answer the question.
Polynomial End Behavior
Equation
Degree
Leading Coefficient
End Behavior
Example
f(x) - +0, as x-0
y = x2
Even
Positive
f(x) +00, as x +0
f(x) - -00, as x-0
y = -x2
Even
Negative
f(x) - -0, as x +o
f(x) - -00, as x -o
y = x3
Odd
Positive
f(x) - +o, as x+o
f(x) +o, as x -o
y = -x3
Odd
Negative
f(x) -o, as x +ao
As x - 0, f(x)→ -o and as x + o, f(x)→ -.
As x+ - 00, f(x)→ + oo and as x+ 0o,f(x) → - o,
All Che
oud Meeti...
Transcribed Image Text:Which description best represents the end behavior of the function f(x) = -x* +5x³ - 2x +5? Hint: Use the examples in the table to help you answer the question. Polynomial End Behavior Equation Degree Leading Coefficient End Behavior Example f(x) - +0, as x-0 y = x2 Even Positive f(x) +00, as x +0 f(x) - -00, as x-0 y = -x2 Even Negative f(x) - -0, as x +o f(x) - -00, as x -o y = x3 Odd Positive f(x) - +o, as x+o f(x) +o, as x -o y = -x3 Odd Negative f(x) -o, as x +ao As x - 0, f(x)→ -o and as x + o, f(x)→ -. As x+ - 00, f(x)→ + oo and as x+ 0o,f(x) → - o, All Che oud Meeti...
Equation
Degree
Leading Coefficient
End Behavior
Example
f(x) +0, as x-0
y = x2
Even
Positive
f(x) +o, as x +o
f(x) - -00, as x -00
y = -x2
Even
Negative
f(x) - -0, as x +o
f(x) - -00, as x-00
y = x3
Odd
Positive
f(x) - +0, as x+0
f(x) - +o, as x -0
y = -x3
Odd
Negative
f(x) -o, as x- +o
A
As x→ – 00, f(x) → – ∞ and asx → + ∞, f(x) → - ∞,
B
As x - 0, f(x) → + ∞ and as x + o, f(x) → - ∞.
As x - 0, f(x) → - ∞ and.as x + o, f(x)→ + o.
D
As x→ - 00, f(x)→ + o and as x + 0, f(x)→ +0.
All Change
red
Cloud Meeti...
Transcribed Image Text:Equation Degree Leading Coefficient End Behavior Example f(x) +0, as x-0 y = x2 Even Positive f(x) +o, as x +o f(x) - -00, as x -00 y = -x2 Even Negative f(x) - -0, as x +o f(x) - -00, as x-00 y = x3 Odd Positive f(x) - +0, as x+0 f(x) - +o, as x -0 y = -x3 Odd Negative f(x) -o, as x- +o A As x→ – 00, f(x) → – ∞ and asx → + ∞, f(x) → - ∞, B As x - 0, f(x) → + ∞ and as x + o, f(x) → - ∞. As x - 0, f(x) → - ∞ and.as x + o, f(x)→ + o. D As x→ - 00, f(x)→ + o and as x + 0, f(x)→ +0. All Change red Cloud Meeti...
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