Determine the leading coefficient. What is the coefficient of the term with the highest power of the variable x? Tutorial ExerciseDescribe the right-hand and left-hand behavior of the graph of the polynomial function.h(x) =4- x8Step 1Use the Leading Coefficient Test to determine the behavior of the polynomial function as x moves withoutbound to the left and to the right. The behavior depends on the sign of the leading coefficient, and whetherthe function is even or odd. First, determine the degree of the polynomial function. This determines whetherthe function is even or odd. What is the degree of the polynomial?8.Is the function even or odd?The function is evenevenStep 2Next, determine the leading coefficient. What is the coefficient of the term with the highest power of thevariable x?-4Is the leading coefficient positive or negative?The leading coefficient is negativeSubmitSkip (you cannot come back)

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Determine the leading coefficient. What is the coefficient of the term with the highest power of the variable

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

Section4.2: Polynomial Functions

Problem 81E: Maximize volume An open box is to be constructed from a piece of cardboard 20 inches by 24 inches by...

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Determine the leading coefficient. What is the coefficient of the term with the highest power of the variable x?

Tutorial Exercise
Describe the right-hand and left-hand behavior of the graph of the polynomial function.
h(x) =4- x8
Step 1
Use the Leading Coefficient Test to determine the behavior of the polynomial function as x moves without
bound to the left and to the right. The behavior depends on the sign of the leading coefficient, and whether
the function is even or odd. First, determine the degree of the polynomial function. This determines whether
the function is even or odd. What is the degree of the polynomial?
8.
Is the function even or odd?
The function is even
even
Step 2
Next, determine the leading coefficient. What is the coefficient of the term with the highest power of the
variable x?
-4
Is the leading coefficient positive or negative?
The leading coefficient is negative
Submit
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