(a) Explanation Given Information: The provided function is: k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 Formula used: If y = f ( x ) , the x intercept is obtained by setting y = 0 and y intercept is obtained by setting x = 0 . Calculation: Consider the provided function: k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 Now, to obtain x intercept use Ti-83 calculator as: Step1: Press ON key. Step2: Press “Y=” key. Step3: Enter the equation − 3 ( x ^ 4 ) + 4 ( x ^ 3 ) + 36 ( x ^ 2 ) + 10 before Y 1 (b) To determine To calculate: The points of extrema for the provided function k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 . (c) To determine To calculate: The points of inflection for the provided function k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 . (d) To determine The behavior near singular points of the function k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 . (e) To determine The behavior at infinity for the provided function k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 .

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 5.4, Problem 9E

(a)

To determine

To calculate: The x and y intercepts of the provided function k(x)=−3x4+4x3+36x2+10.

(b)

To determine

To calculate: The points of extrema for the provided function k(x)=−3x4+4x3+36x2+10.

(c)

To determine

To calculate: The points of inflection for the provided function k(x)=−3x4+4x3+36x2+10.

(d)

To determine

The behavior near singular points of the function k(x)=−3x4+4x3+36x2+10.

(e)

To determine

The behavior at infinity for the provided function k(x)=−3x4+4x3+36x2+10.

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Chapter 5.4, Problem 8E

Chapter 5.4, Problem 10E

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Chapter 5 Solutions

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The x and y intercepts of the provided function k ( x ) = − 3 x 4 + 4 x 3 + 36 x 2 + 10 .

Solution Summary: The author explains how to calculate the x and y intercepts of the provided function using Ti-83 calculator.

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To calculate: The x and y intercepts of the provided function k(x)=−3x4+4x3+36x2+10.

To calculate: The points of extrema for the provided function k(x)=−3x4+4x3+36x2+10.

To calculate: The points of inflection for the provided function k(x)=−3x4+4x3+36x2+10.

The behavior near singular points of the function k(x)=−3x4+4x3+36x2+10.

The behavior at infinity for the provided function k(x)=−3x4+4x3+36x2+10.

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Chapter 5 Solutions