SOLUTION: Can some please help me with this problem step by step please? The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test. The p

Algebra ->  Test  -> Lessons -> SOLUTION: Can some please help me with this problem step by step please? The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test. The p      Log On


   

Question 1006216: Can some please help me with this problem step by step please? The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test. The problem is f(x)=x-10/x+6.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-18%2C10%2C-10%2C10%2C%28x-10%29%2F%28x%2B6%29%29
Imagine any horizontal lines you want, through the graph. More than one intersection anywhere?

Also, for two different variables, a and b,
%28a-10%29%2F%28a%2B6%29=%28b-10%29%2F%28b%2B6%29
and if you try solving this to look at how a and b relate to each other,
...
..
you will find b=a or a=b.
This means any a or b is the same value or same number. This looks like one-to-one.