BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.9, Problem 25E
To determine

To graph: The equations y=64xx2,y=3x+18 in the viewing rectangle [6,2]by[5,20] and identify the intersection points.

Expert Solution

Explanation of Solution

Given information:

The equations y=64xx2,y=3x+18 and viewing rectangle [6,2]by[5,20] .

Graph:

The graph of the equation y=64xx2 can be sketched using the table,

    xy
    06
    26
    426

The graph of equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 25E , additional homework tip  1

The graph of the equation y=3x+18 can be sketched using the table,

    xy
    018
    224
    212
    115

The graph of equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 25E , additional homework tip  2

The graph of both equations in same figure is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 25E , additional homework tip  3

From the graph it looks as the graphs intersect near the (3,8) .Zoom the area near this point.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 25E , additional homework tip  4

Since, the graphs intersect each other at 2 points.

Thus, the graphs intersect in the given viewing rectangle. There are 2 intersection points.

Interpretation:

The graph of an equation in a viewing screen is a viewing rectangle.

The x -values to range from a minimum value of xmin =a to a maximum value of xmax =b

The y -values to range from minimum value of ymin =c to a maximum value of ymax =d

Then, the display portion of the graph lies in the rectangle [a,b]×[c,d]={(x,y)|axb,cyd}

The equations y=64xx2,y=3x+18 are intersect at 2 points in viewing rectangle [6,2]by[5,20] .

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