a. b. y с. d. y y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 41E
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Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function, f(x) = -x4 + 1 . Then use this end behavior to match the polynomial function with its graph. [The graphs are labeled (a) through (d), see attached]

a.
b.
y
с.
d.
y
y
Transcribed Image Text:a. b. y с. d. y y
Expert Solution
Step 1

Given the function:

fx=-x4+1

Given the graphs:

Calculus homework question answer, step 1, image 1

Step 2

For the given function: fx=-x4+1

degree of polynomial, n=4 (even)

leading coefficient, a=-1 (odd)

Hence by using leading coefficient test, for a polynomial with even degree and off leading coefficient, the graph will fall to the left and right.

 

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