# Identify the rational function whose graph is shown in the figure.?

a) f(x) = (3x+5)/(x-1)
b) f(x) = (x+5) / (x+3)
c) f(x) = (3x-5) / (x-1)
d) f(x) = (x+5) / (x+1)

I agree with mvsopen: we need to see the graph in order to make a choice. However, I can offer some hints to help you.

First, remember that "rational" simply refers to numbers written as ratios or fractions of numbers. A fraction is undefined when the denominator is equal to zero (since you cannot divide by zero). When your input value (x) causes the fraction to be undefined, the graph will show this in the form of a hole or asymptote.

Take a look at your choices: A is undefined when x=1; B is undefined when x=-3; C, like A, is undefined when x=1; D is undefined when x=-1.

Now look at the given graph. Is there an asymptote or hole? Where is it? (What is the corresponding x-value?) Identifying this on the graph should help you to match it with the correct function in the given choices.

By the way...if all else fails, you can graph each function on a graphing calculator and see which one matches the graph that you are given in the problem.

Good luck!
Without seeing the figure, that is impossible to answer!
homework on the weekend? weak.

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