   Chapter 5.5, Problem 8SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 5-8, find the points of intersection of the graphs of the functions. f ( x ) = 1 2 x 3 , g ( x ) = 2 x

To determine

To calculate: The point of the intersection of the graph of the function f(x)=12x3 and g(x)=2x.

Explanation

Given Information:

The provided function is f(x)=12x3 and g(x)=2x.

Calculation:

Consider the provided function is,

f(x)=12x3 and g(x)=2x

Now, for the intersection point of the function f(x)=12x3 and g(x)=2x, compare the both functions.

12x3=2xx34x=0x(x24)=0x=0,x=2 and x=2

Now, substitute 0 for x in the function f(x)=12x3.

f(0)=1203=0

Substitute 2 for x in the function f(x)=12x3.

f(2)=1223=4

Substitute 2 for x in the function f(x)=12x3.

f(2)=12(2)3=4

Now, the intersection point of the function f(x)=12x3 and g(x)=2x is

(0,0),(2,4) and (2,4).

Graph:

Consider the function f(x)=12x3.

Now, draw the graph by using point plotting method.

Substitute 0 for x in the function f(x)=12x3.

f(0)=1203=0

Substitute 1 for x in the function f(x)=12x3.

f(1)=1213=12

Substitute 1 for x in the function f(x)=12x3.

f(1)=12(1)3=12

Substitute 2 for x in the function f(x)=12x3

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