# Determine whether −3x−y2=−1 is a function.

The equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To determine whether the equation −3x − y² = −1 represents a function, we need to check if there is a unique output (y) for every input (x) or if there are multiple outputs for the same input. In other words, we need to ensure that each x-value maps to only one y-value.

First, let's rearrange the equation to isolate y²:

−3x − y² = −1

y² = 3x - 1

Now, it's evident that for a single value of x, there could be two possible values of y due to the square root. This means that for some values of x, there would be multiple outputs (y-values). Therefore, the equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

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No (not a function)

Step-by-step explanation:

Begin by isolating the y-term to find

−3x−y2−y2y2=−1=3x−1=−3x+1

For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have

y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5

We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.

## Related Questions

Nancy put 3 cups of vegetables in each container.

Step-by-step explanation:

1. Add the amount of vegetables together

2. Divided the number of vegetables by 5, since they are put into 5 separate containers.

____________________________________________________________2+1+2+1+3+6 = 15

15 divided by 5 or 5 x ? = 15

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

Solve the system of equations below by graphing them with a pencil andpaper. Enter your answer as an ordered pair.
y=-x+ 2
y=-2x+6

x=2 y=0

Step-by-step explanation:

Explanation:

just put y= -x in second equation x comes out to be 2. Then put x=2 y comes out to be 0

2. picking a number from 1 to 5 and choosing
the color red, white, or blue

It’s 3 and red all of the other awser combined would be wrong so the correct awnser is 3 and red

What is the slope of the line represented by the equation y = - 1/2x + 1/4

The slope is -1/2

Step-by-step explanation:

-1/2 is a negative slope. Down 1 to the right 2

Solve for X
2/3 x +10/60 =100/60

2 1/4

Step-by-step explanation:

subtract 10/60 from each side to get:

2/3x = 90/60

multiply each side by 3/2 to get:

x = 270/120

x = 27/12 or 2 1/4

In the formula N = L(1 - d), find the value of N, when L = \$2,500 andd = 0.03.
Pls help fast