6. Find the x-intercepts and determine whether the graph of the function crosses the x-axis at each x-intercept, and sketch the graph. a. f(x)= (x - 4)°(x+ 3) b. f(x) = (3x - 4)°(x - 3)(x+2)
6. Find the x-intercepts and determine whether the graph of the function crosses the x-axis at each x-intercept, and sketch the graph. a. f(x)= (x - 4)°(x+ 3) b. f(x) = (3x - 4)°(x - 3)(x+2)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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Please solve Q.6
Transcribed Image Text:II. Elementary Theorems on the Roots of an Equation (Part I)
5. Let f(x) = (x-1) (x+2)
a. What is the degree of f(x)
b. What are the roots and their multiplicity respectively.
III. Sketching Graphs of Polynomial Functions
6. Find the x-intercepts and determine whether the graph of the function
crosses the x-axis at each x-intercept, and sketch the graph.
a. f(x) = (x - 4)°(x + 3)
b. f(x) — (3х - 4)'(x - 3)(х+2)
|
7. Determine the behavior of the graph as x → o or x → -00.
a. y= x'- 3x
b. y = x* - 2x?
с. у%3-х*+ 3x? + 1
d. y = -x'+ 2x² -8
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