SOLUTION: Please help me solve this: Which of the following defines a one - to - one function / define one - to - one functions in x? A. y = x^2 B. x = y^2 C. xy = 1 1.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me solve this: Which of the following defines a one - to - one function / define one - to - one functions in x? A. y = x^2 B. x = y^2 C. xy = 1 1.       Log On


   

Question 1142369: Please help me solve this:
Which of the following defines a one - to - one function / define one - to - one functions in x?
A. y = x^2
B. x = y^2
C. xy = 1
1. Only A
2. Only B
3. Only C
4. Only A and B
5. Only A
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

I realize you are probably a high school student learning about functions for the first time. You should attempt this on your own because it is fundamental to understanding a lot of math that will follow. The posting of this question comes across as someone who does not want to exert the effort needed to learn.

I will give you this hint: a function requires that a vertical line (a line parallel to the y-axis) cross the graph of that function no more than once, for ANY x-value that you choose to put that line on. My recommendation is for you to graph the three functions and see which pass this test. Post/message what you think the answer is and I will help you from there. The site desmos.com is an excellent graphing utility.