   Chapter 5, Problem 88RE ### 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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# Finding the Area Bounded by Two Graphs In Exercises 87-94, sketch the region bounded by the graphs of the functions and find the area of the region. y = x 2 + 4 x − 5 , y = 4 x − 1

To determine

To graph: The area of the region bounded by the graphs of the functions y=x2+4x5,y=4x1 also find the area of the region.

Explanation

Given information:

The functions are y=x2+4x5,y=4x1.

Graph:

Consider the functions y=x2+4x5,y=4x1.

First make a table for the function y=x2+4x5,

 x y=x2+4x−5 (x,y) −2 y=(−2)2+4(−2)−5=−9 (−2,−9) 1 y=(1)2+4(1)−5=0 (1,0) 2 y=(2)2+4(2)−5=7 (2,7)

Now, take the second function y=4x1.

Make a table for this given function,

 x y=4x−1 (x,y) −2 y=4(−2)−1=−9 (−2,−9) 1 y=4(1)−1=3 (1,3) 2 y=4(2)−1=7 (2,7)

The required graph is shown below:

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