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 86RE
To determine

To find: The given function is one to one function or not.

Expert Solution

Answer to Problem 86RE

The given function isn’t one to one.

Explanation of Solution

Given function: q(x)=3.3+1.6x+2.5x3

Calculation: Use graphing device to graph the function q(x)=3.3+1.6x+2.5x3.

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression 3.3+1.6x+2.5x3 which is required to graph.

Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.

The graph is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2, Problem 86RE

As we see that the graph is cutting the axis just one time. Therefore, the function is one to one function.

Hence, the function q(x) is one to one function.

Interpretation:

If some horizontal line intersects the graph of the function more than once, then the function is not one to one.

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