   Chapter 5.5, Problem 7SWU ### 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 ) = x 2 , g ( x ) = − x + 6

To determine

To calculate: The point of the intersection of the graph of the function f(x)=x2 and g(x)=x+6.

Explanation

Given Information:

The provided function is f(x)=x2 and g(x)=x+6.

Calculation:

Consider the provided function is,

f(x)=x2 and g(x)=x+6

Now, for the intersection point of the function f(x)=x2 and g(x)=x+6, compare the both functions.

x2=x+6x2+x6=0(x+3)(x2)=0x=3,x=2

Now, substitute 2 for x in the function f(x)=x2.

f(2)=22=4

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

f(3)=(3)2=9

Now, the intersection point of the function f(x)=x2 and g(x)=x+6 is (2,4) and (3,9).

Graph:

Consider the function f(x)=x2.

Now, draw the graph by using point plotting method.

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

f(0)=02=0

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

f(1)=12=1

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

f(1)=(1)2=1

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

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