1) Find the zeros, the multiplicity, and whether the graph touches or crosses the x-axis at the zeros. Then determine the degree, end behavior, and y-intercept. Use this information to sketch a graph of the polynomial. a) f(x) = -x(x - 3)2(x+ 2)3 Zeros Multiplicity Cross/Touch? Degree: y-intercept: left end: right end: c) f(x) = (x – 1)2(x + 3)³(x + 1)4 Zeros Multiplicity Cross/Touch? Degree: y-intercept: left end: right end:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Find the zeros, the multiplicity, and whether the graph touches or crosses the x-axis
at the zeros. Then determine the degree, end behavior, and y-intercept. Use this
information to sketch a graph of the polynomial.
a)
f(x) = -x(x – 3)2(x + 2)3
Zeros
Multiplicity
Cross/Touch?
Degree:
y-intercept:
left end:
right end:
c)
f(x) = (x – 1)2(x + 3)³(x + 1)4
Zeros
Multiplicity
Cross/Touch?
Degree:
y-intercept:
left end:
right end:
Transcribed Image Text:1) Find the zeros, the multiplicity, and whether the graph touches or crosses the x-axis at the zeros. Then determine the degree, end behavior, and y-intercept. Use this information to sketch a graph of the polynomial. a) f(x) = -x(x – 3)2(x + 2)3 Zeros Multiplicity Cross/Touch? Degree: y-intercept: left end: right end: c) f(x) = (x – 1)2(x + 3)³(x + 1)4 Zeros Multiplicity Cross/Touch? Degree: y-intercept: left end: right end:
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