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Q9.

Expert-verified
Found in: Page 409

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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

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

See the 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 many y-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.