SOLUTION: I am not clear about functions, so I need help figuring this out. Could someone please help? Which of the following is not a function of x? y=x^2+5x+3 y-3=6x 6x= -y^2+3 0=5x-y

Algebra ->  Algebra  -> Functions -> SOLUTION: I am not clear about functions, so I need help figuring this out. Could someone please help? Which of the following is not a function of x? y=x^2+5x+3 y-3=6x 6x= -y^2+3 0=5x-y      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 54185: I am not clear about functions, so I need help figuring this out. Could someone please help?
Which of the following is not a function of x?
y=x^2+5x+3
y-3=6x
6x= -y^2+3
0=5x-y+1
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
The way that I attack these is to look at the exponents of the y's. If y is raised to an even integer power, x is not a function of y.
Therefore, 6x=-y%5E2%2B3 is not a function of x because y is raised to the 2nd power and 2 is even.
Graphically, even powers of y's are represented by ellipses, circles, sideways parabolas (which is what this one is) and certain types of hyperbolas that are not functions because they do not pass the vertical line test.
Happy Calculating!!!