Find the {{MATH_8}}-intercept, this is the point {{MATH_9}}. Place this point on your graph. {{CMD_10}} Find any vertical asymptotes, these are points {{MATH_11}} where {{MATH_12}} goes to infinity as {{MATH_13}} goes to {{MATH_14}} (from the right, left, or both). {{CMD_15}} If possible, find the {{MATH_16}}-intercepts, the points where {{MATH_17}}. Place these points on your graph. {{CMD_18}} Analyze end behavior: as {{MATH_19}}, what happens to the graph of {{MATH_20}}? Does it have horizontal asymptotes, increase or decrease without bound, or have some other kind of behavior? {{CMD_21}} Compute {{MATH_22}} and {{MATH_23}}. {{CMD_24}} Find the critical points (the points where {{MATH_25}} or {{MATH_26}} is undefined). {{CMD_27}} Use either the first or second derivative test to identify local extrema and/or find the intervals where your function is increasing/decreasing. {{CMD_28}} Find the candidates for inflection points, the points where {{MATH_29}} or {{MATH_30}} is undefined. {{CMD_31}} Identify inflection points and concavity.