# The function y = 1 − 1 x by hand without plotting any points.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.3, Problem 12E
To determine

## To sketch: The function y=1−1x by hand without plotting any points.

Expert Solution

### Explanation of Solution

The standard graph of the function y=1x is roughly drawn as shown below in Figure 1.

Draw the graph of y=1x, by reflecting the graph y=1x about the x-axis.

Thus, the graph of y=1x is shown below in Figure 2.

Observe that Figure 2 is reflecting Figure 1 about the origin.

To draw the graph of y=11x, shift the graph y=1x by 1 unit upward.

Thus, the graph of y=11x is shown below in Figure 3.

From Figure 3, it is observed that the graph of the function y=11x never intersects the x-axis.

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