=, f(x) 22 I +1'

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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Solve for g, h, i, and l
For reference, f (x)
I +1'
(i) Compute lim f(x).
r--1-
(im 12
メ→T
(k) Compute lim f(a).
I--1+
lim X2
2
2.
(1) Use the information from parts (a) through (k) to sketch a graph of f(x). Check your graph
and all the points of interest with Desmos or another graphing utility, and fix any mistakes
you may have made. Label the extrema and inflection point(s).
-10
6
Transcribed Image Text:For reference, f (x) I +1' (i) Compute lim f(x). r--1- (im 12 メ→T (k) Compute lim f(a). I--1+ lim X2 2 2. (1) Use the information from parts (a) through (k) to sketch a graph of f(x). Check your graph and all the points of interest with Desmos or another graphing utility, and fix any mistakes you may have made. Label the extrema and inflection point(s). -10 6
For reference, f(x) =
f'(x) =
x2+2X
X +1)2
(f) Compute f" (x) and simplify (hint: factor and cancel (x +1)).
f=(2x+2)(X+)2-(x2+2v)2( x+)
(2x+2)Lx+1)-2(x?+2)
2x2+2r+2x+2-2x24y
2.
(g) Find all r-values where f" is neither positive nor negative.
(h) List the intervals of concave up and concave down. Show your work in such a way the grader
knows what you were thinking.
(i) Which of the points from ?? are inflection points? Explain.
Transcribed Image Text:For reference, f(x) = f'(x) = x2+2X X +1)2 (f) Compute f" (x) and simplify (hint: factor and cancel (x +1)). f=(2x+2)(X+)2-(x2+2v)2( x+) (2x+2)Lx+1)-2(x?+2) 2x2+2r+2x+2-2x24y 2. (g) Find all r-values where f" is neither positive nor negative. (h) List the intervals of concave up and concave down. Show your work in such a way the grader knows what you were thinking. (i) Which of the points from ?? are inflection points? Explain.
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