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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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Most popular questions from this chapter

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

-2,-1,0,2,2,3,-2,-4

A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)

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