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 2, Problem 85RE
To determine

By using T1-83 calculator, determine whether the given function p(x)=3.3+1.6x2.5x3 is one −to − one.

Expert Solution

Answer to Problem 85RE

Hence, p is not one −to − one.

Explanation of Solution

Given information: Consider the function p(x)=3.3+1.6x2.5x3

Calculation:

Press the Y= Button and enter the function Y1=3.3+1.6×2.5×3 and Y2=3

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 85RE , additional homework tip  1

Once this is done on the WINDOW screen

X min=10

X max=10

Y min=10

Y max=10

Adjust Xscl=1

This gives a range that is good for many

Varied graph types

Set the window

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 85RE , additional homework tip  2

Then click the GRAPH button.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 85RE , additional homework tip  3

From the above graph, observe that the horizontal line that intersects the graph of p more than once.

Hence the horizontal line test p is not one −to − one.

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