SOLUTION: Is this the graph of a reciprocal function of a linear or a quadratic function? State the equation of the reciprocal function. Link to graph: https://gyazo.com/be111635a786a32656

Algebra ->  Functions -> SOLUTION: Is this the graph of a reciprocal function of a linear or a quadratic function? State the equation of the reciprocal function. Link to graph: https://gyazo.com/be111635a786a32656      Log On


   

Question 1204827: Is this the graph of a reciprocal function of a linear or a quadratic function? State the equation of the reciprocal function.
Link to graph: https://gyazo.com/be111635a786a32656c96fb18f3018cf
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
As you can see, the function on the graph is a hyperbola, and have two asymptotes.
The reciprocal of a linear function has two asymptotes: one vertical, and one horizontal.
So, this is the graph of a reciprocal function of a linear function.

The vertical asymptote occurs for the value of x that causes the denominator to equal zero.
in your case we see from the graph that vertical asymptote is at x=2, horizontal asymptote is at y=0

the equation of the reciprocal function is:
f%28x%29=1%2F%28x-2%29



your function is reciprocal of a linear function f%28x%29=x-2