Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.5, Problem 54E

To determine

To approximate: The real zeros of the function f(x)=3x3−16x2+12x+6 to the nearest tenth.

Expert Solution & Answer

Answer to Problem 54E

The zeros are about −0.3,1.4 and 4.3

Explanation of Solution

Given information: f(x)=3x3−16x2+12x+6

Calculation:

Use the TABLE feature of a graphing calculator.

f(x)=3x3−16x2+12x+6

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.5, Problem 54E , additional homework tip 1

From the table, there are zeros between − 1 & 0,

Between 1 & 2 and between 4 & 5

To find the zeros to the nearest tenth, use TBLSET feature changing ΔTbl to 0.1

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.5, Problem 54E , additional homework tip 2

Since 0.879 is closer to zero than − 1.552, the zero is about − 0.3.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.5, Problem 54E , additional homework tip 3

Since − 0.328 is closer to zero than 1.151, the zero is about 1.4.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.5, Problem 54E , additional homework tip 4

Since 0.281 is closer to zero than − 3.576, the zero is about 4.3.

The zeros are about −0.3,1.4 and 4.3

Chapter 5.5, Problem 53E

Chapter 5.5, Problem 55E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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