Sketch the graph of the function f(x) = x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))

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
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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Sketch the graph of the function and solve a,b,d,c,e. (image)

2. Sketch the graph of the function f(x)= x( x³ + x² -5x + 3).
a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x).
Fill in blank ( rises or falls)
The graph
to the left and
to the right.
b. Show that x = 1 is a zero:
c. Use the synthetic division to factor f(x) ( you may need to factor the quotient)
d. List all the zeros and their multiplicity
Multiplicity
Zeros
e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through
all the points.( x-intercepts are the zeros of f(x))
Transcribed Image Text:2. Sketch the graph of the function f(x)= x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))
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