Algebra

# Graphing Rational Equations

The graph of the rational function $y=\frac{ax-b}{-2x+c}$ is as shown above. If $x_1=5$ and $y_1=4,$ what is the value of $a+b+c ?$

Which of the following functions represents the above graph?

Which of the above graphs is represented by the function $y=\frac{-x+9}{x-14} ?$

Assuming that $a=6$ and $b=3,$ which of the following functions represents the above graph?

If the graphs of two functions $y=f(x)$ and $y=g(x)$ are as shown above, which of the following is the graph of the function $\displaystyle y=\frac{f(x)}{g(x)}?$

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