SOLUTION: determine whether y=2 is a function

Algebra.Com
Question 1001927: determine whether y=2 is a function
Answer by Theo(13342)   (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:




RELATED QUESTIONS

Determine whether each relation is a function.... (answered by stanbon)
Determine whether each relation is a function.... (answered by josgarithmetic,ikleyn)
determine whether Y is a function of X for x^2+y^2... (answered by Fombitz)
Determine whether y is a function of x. Explain 1.... (answered by josgarithmetic)
Determine whether the relation is a function.... (answered by jim_thompson5910)
Determine whether each relation is a function.... (answered by vertciel)
Determine whether the following relation is a function. Then state domain and range: X=... (answered by Fombitz)
Determine whether the relation is a function. Then state domain and range: x=... (answered by Fombitz)
Determine whether the function is a polynomial function. f(x) = x^3/2 - x^6 + 6 (answered by mathmate,ikleyn)