Find all critical values for the function f(t) = t4 20:3 + 112:2 and then list them (separated by commas) in the box below. List of critical numbers: Suppose that 5ex J() = 5ex + 3 (A) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f (x ) is concave up. Concave up: (C) Use interval notation to indicate where f (x) is concave down. Concave down: (D) Find all inflection points of f. If there are no inflection points, enter None. If there are more than one, enter them separated by commas. Inflection point(s) at x =Below is the graph of the derivative f'(m) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For part (A), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of a: in (0,8) is f(?) concave down? (If the function is not concave down anywhere, enter "{}" without the quotation marks.) Answer: (B) Find all values of a: in (0,8) is where f($) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter 1OUO.) Inflection Points: Suppose that M) = me + 3:2) (A) Use interval notation to indicate where x) is concave up. Note: When using interval notation in WeBWorK, you use | for co, -| for oo, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks. Concave up: (B) Use interval notation to indicate where f (m) is concave down. Concave down: (0) Find all inflection points of f. If there are no inflection points, enter 1 000. If there are more than one, enter them separated by commas. Inflection point(s) at :1: = l concave up (down). Then determine the wcoordinates of all inflection points of f. . Find the open intervals on which f is 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at :1: 2 Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of :1: values or the word "none". 4 Let x) 2 3$+ 2 . Find the open intervals on which f is a: concave up (down). Then determine the wcoordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at m = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none"