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Chapter 8: Q9. (page 409)

Graph y=-1 and x=4. Tell whether each equation is a surface.

Short Answer

Expert verified

The equation y=-1 is a function, while x=4is not a function.

Step by step solution

01

Step 1. Given Information

The given equations are y=-1, and x=4.

02

Step 2. Graph the first equation.

Upon graphing y=-1, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of y=-1 more than one place, therefore, y=-1 is a function.

03

Step 3. Graph the second equation.

Upon graphing x=4, we will get our required graph as shown below:

We can see that the graph of line x=4 is a vertical line, so one value of x corresponds to infinitely manyy-values. Therefore, the equation x=4 is not a function.

04

Step 4. Conclusion.

The first equation y=-1is a function and the second equation x=4is not a function.

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