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 23E
To determine

To graph: The equations y=3x2+6x12,y=7712x2 in the viewing rectangle [4,4]by[1,3] and identify the intersection points.

Expert Solution

Explanation of Solution

Given information:

The equations y=3x2+6x12,y=7712x2 and viewing rectangle [4,4]by[1,3] .

Graph:

The graph of the equation y=3x2+6x12 can be sketched using the table,

    xy
    012
    212
    4492
    2492
    4732

The graph of equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 23E , additional homework tip  1

The graph of the equation y=7712x2 can be sketched using the table,

    xy
    07
    2143
    473
    2143
    473

The graph of equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 23E , 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 23E , additional homework tip  3

From the graph it looks as the graphs intersect near the (1,3) .Zoom the area near this point.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 23E , additional homework tip  4

Since, the graphs never intersecteach other so there is no intersecting 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=3x2+6x12,y=7712x2 are not intersect in viewing rectangle [4,4]by[1,3] .They almost touch but never intersect each other at any point.

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