   Chapter 5.5, Problem 6SWU ### 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 ) = − 3 x 2 , g ( x ) = 6 − 9 x

To determine

To calculate: The point of the intersection of the graph of the function f(x)=3x2 and g(x)=69x.

Explanation

Given Information:

The provided function is f(x)=3x2 and g(x)=69x.

Calculation:

Consider the provided function is,

f(x)=3x2 and g(x)=69x

Now, for the intersection point of the function f(x)=3x2 and g(x)=69x, compare the both functions.

3x2=69xx23x+2=0(x2)(x1)=0x=2,x=1

Now, substitute 1 for x in the function f(x)=3x2.

f(x)=312=3

Substitute 2 for x in the function f(x)=3x2.

f(x)=322=34=12

Now, the intersection point of the function f(x)=3x2 and g(x)=69x is (1,3) and (2,12).

Graph:

Consider the function f(x)=3x2.

Now, draw the graph by using point plotting method.

Substitute 0 for x in the function f(x)=3x2.

f(0)=302=0

Substitute 1 for x in the function f(x)=3x2.

f(1)=312=3

Substitute 1 for x in the function f(x)=3x2.

f(1)=3(1)2=3

Substitute 2 for x in the function f(x)=3x2

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