f(x): = 2x2+x-1 Given the function x+3x+2. Find the following key characteristics of the graph of the function. Then use the characteristics to sketch a graph of the function. 9. Factor the function. 10. Find the vertical asymptote(s). 11. Find the coordinates of the hole(s). 12. Find the zeros. 13. Find the intervals over which the function is both positive and negative. Positive: Negative: 15. Find the intervals over which the function is both increasing and decreasing. Increasing: Decreasing: 14. Find the extreme values. none 16. Determine whether the function has even, odd, or neither symmetry. 17. Find the horizontal asymptote(s). 19. Find the domain of the function. 18. Find the end behavior of the function. As xo, f(x) As x-00, f(x) 20. Find the range of the function. 21. Sketch the graph of the function on the grid at right. Your sketch MUST be hand-drawn. You cannot copy, paste a graph you have created with a graphing tool. Be sure your graph has the following characteristics: Sketch the asymptotes with dashed lines. Sketch the graph with a solid line. Label the x-intercept. Label the y-intercept. Label the hole. 10 8 6 4 2 10 -8-6 -4 -2 2 4 6 8 10 -2 +4 -6 8 -10