The following polynomial represents the number of major hurricanes that struck the U.S. x decades after 1911-1920 f(x) 0.16x3 – 2.32x² + 9.33x – 2.21 What is the end behavior of the function? O as x → ∞, f(x) → ∞ O as x → x, f(x) → - 00 Interpret the above end behavior in the context of the situation. f(x) will go upwards on the right and downwards on the left

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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This is regarding Polynomial functions

I guess I'm just wondering how I can explain the "end behavior" in context of the situation as well as the simplest way to "determine the end behavior"

The following polynomial represents the number of major hurricanes that struck the U.S. x decades
after 1911-1920 f(x) = 0.16x – 2.32x + 9.33x – 2.21 what is the end behavior of the
function?
as x → 0, f(x) → ∞
as x → 0, f(x) →
Interpret the above end behavior in the context of the situation.
f(x) will go upwards on the right and downwards on
the left
The following polynomial represents the revenue of a phone company (in thousands of dollars)
when x thousand phones are produced. f(x) = (45 – 0.0125x)x What is the end behavior of the
function?
as x →
0o, f(x) → ∞
as x →
∞, f(x) →
-
Interpret the above end behavior in the context of the situation.
f(x) will go up on the right and downwards on the
left
Transcribed Image Text:The following polynomial represents the number of major hurricanes that struck the U.S. x decades after 1911-1920 f(x) = 0.16x – 2.32x + 9.33x – 2.21 what is the end behavior of the function? as x → 0, f(x) → ∞ as x → 0, f(x) → Interpret the above end behavior in the context of the situation. f(x) will go upwards on the right and downwards on the left The following polynomial represents the revenue of a phone company (in thousands of dollars) when x thousand phones are produced. f(x) = (45 – 0.0125x)x What is the end behavior of the function? as x → 0o, f(x) → ∞ as x → ∞, f(x) → - Interpret the above end behavior in the context of the situation. f(x) will go up on the right and downwards on the left
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