For part 1 answer each question with a little bit of steps.

1. Determine the intervals on which the curve is concave upward or concave downward and state the points of inflection for y = x* - 24x2 + x - 1 2. Given f (x) = x4 - 8x2 , use the curve sketch algorithm to determine: a. The x & y intercepts b. The intervals of increase or decrease c. The local maximum and minimum values d. The intervals of concavity e. The points of inflection f. Sketch the curve using the grid below, or on an axis that is created using a ruler and proper scale.Question 1 (1 point) Find /"(x) if f(x) - x3 (x] - 1 ). O a) 2x ( 2x ) O b) 4x3 - 2x O c) 4 O d) 12x 3 - 2 Question 2 (1 point) Determine the number of points of inflection for the graph of A(x). 2 1 0 EX O a ) 2 Ob) 1 O co O d) 3Question 3 (1 point) The function A(x) = x-3 increases on which interval? O a ) x 3 O d) X ER Question 4 (1 point) Find /"(x) if A(x) = 1 x+1 O a) (x + 1)3 O b ) 2 (x+ 1)3 O c) ? O d) -2 (x + 1)3Question 5 (1 point) How many critical points does the function /(x) = x3 -x+ 1 have? O a ) 3 O blo Oc 1 O d) 2 Question 6 (1 point) When does the function f(x) = x3 - 6x3 + 10x-3 have a point of inflection? O a) (2, 1) O b) ( - 1 , - 20 ) O c) ( 1, 2 ) O d) (0, -3)Questinn T [1 point] + , + I How maria:r critical points clues the function HI?! - 1+; have