Follow steps 1 through 7 to analyze the graph of each function. 

[ Step 1: Factor the numerator and denominator of R. Find the domain of the rational function.

Step 2: Write R in the lowest terms.

Step 3: Find and plot the intercepts of the graph. Use multiplicity to determine the behavior of the graph of R at each x-intercept.

Step 4: Find the vertical asymptotes. Graph each vertical asymptote using a dashed line. Determine the behavior of the graph of R on either side of each vertical asymptote

Step 5: Find the horizontal or oblique asymptote, if one exists. Find points, if any, at which the graph of R intersects this asymptote. Graph the asymptote using a dashed line. Plot any points at which the graph of R intersects the asymptote.

Step 6: Use zeros of the numerator and denominator of R to divide the x-axis into intervals. Determine where the graph of R is above or below the x-axis by choosing a number in each interval and evaluating R there. Plot the points found.

Step 7: use the results obtained in Steps 1 through 6 to graph R.]

1. R(x) = x/((x-1)(x+2)) 

2. R(x) =(3x+3)/(2x+4)

3. R(x) =6/(x²-x-6)

4. R(x) = x²/(x²+x-6)

5. R(x) =3x/(x²-1)

6. R(x) =-4/((x+1)(x²-9)

7. R(x) =(x²-x-12)/(x+5)

8. R(x) =(x²+3x-10)/(x²+8x+15)

9. R(x) = (x²+x-30)/(x+6)