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 $x = 4$ is not a function.

Step by step solution

Step 1. Given Information

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

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.

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.

Step 4. Conclusion.

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the first equation.

Step 3. Graph the second equation.

Step 4. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the first equation.

Step 3. Graph the second equation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

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