Help with explanation and work!

Name Given f(x) = x +3x2 -9x +1 , DO EVERYTHING ON THIS SHEET. I WANT TO BE SURE YOU KNOW WHAT YOU DID. 1. Find the critical numbers (numbers in the domain where P= 0 or is undefined). The critical number(s) I found is/are 2. Use synthetic division to find the y values of your critical numbers. What point(s) (X, Y) did you find? 3 . Use f ''to see if f your Y values are maxes or mins. REMEMBER THAT A MAX OR A MIN IS A NUMBER, NOT A POINT. 2 Fill in the 4 blanks: Because f'( _ is 0, then is a maxamix 7 _ Fill in the 4 blanks. Because f'( ) is 0, then is a 4. Find any points of inflection (X, Y). These are points where concavity changes from concave up to concave down or vice versa. The point(s) of inflection is/are: 5. Graph the function. Use numbers (X, Y) to Label all the important points (where you have maxes, mins, or points of inflection). Have arrowheads to show the function never ends