SOLUTION: determine whether y=2 is a function

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Question 1001927: determine whether y=2 is a function
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
yes it is.

y = 2 is a horizontal line.

the value of y is equal to 2 regardless of what the value of x is.

however, each value of x yields one and only one value of y, therefore the equation is a function.

you can have multiple values of x for each value of y, but you cannot have multiple values of y for each value of x.

that's the definition of a funcftion.

only 1 value of y for each and every value of x.

graph the equation and give it the vertical line test and you'll see that each and every value of x yields only 1 value of y.

here's the graph:

graph%28600%2C600%2C-10%2C10%2C-5%2C5%2C2%29