0 Question 4 E 0110 pts '0 100 3 99 (9 Details Answer the following questions for the function ax) = 9:1/39 + 25 defined on the interval 6 S a: S 5. x) is concave down on the interval x = :l to x = :] x) is concave up on the interval x = C] to x = :l The inflection point for this function is at x = l:] The minimum for this function occurs at x = The maximum for this function occurs at x = :] Question Help: El Video E Message instructor Submit Question Jump to Answer 0 Question 5 B 0/10 pts '0 100 8 99 G) Details 2x+8 3:1: + 3 and (A, 00) where the function is not defined at A. For each of the following intervals, tell whether f(:c) is increasing or decreasing. (-oo,A)_ (A900) Consider the function m) = . For this function there are two important intervals: ( 00, A) Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(3:) is concave up or concave down. (-oo,A)_ (A900) Question Help: 8 Message instructor Submit Question Jump to Answer 0 Question 6 E1 0/10 pts '0 100 2 99 (9 Details Consider the function f(a:) = 8(9: 4)2/3. For this function there are two important intervals: ( 00, A) and (A, 00) where A is a critical number. For each of the following intervals, tell whether f(o:) is increasing or decreasing. ( oo,A)= (Ame): For each of the following intervals, tell whether f(:1:) is concave up or concave down. (- oo,A)= (44,00): Question Help: IE Message instructor Submit Question Jump to Answer 0 Question 7 B 0/10 pts '0 100 :3 99 (9 Details Consider the function f(a:) = 53: + 7:1: '1. For this function there are four important intervals: ( 00, A], [A, B),(B, C], and [0, 00) where A, and C' are the critical numbers and the function is not defined at B. For each of the following open intervals, tell whether x) is increasing or decreasing. (- oo,A)= (14,3): (13,0): (0, 00) Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(o:) is concave up or concave down. ( 00,3): (3. co): Question Help: El Video El Message instructor 0 Question 8 B 0/10 pts '0 100 2:3 99 G) Details Determine the signs (positive, negative, or zero) of y = m) (shown in the graph) and f'x) and f' '(w) when x =1. The sign of f(1) is Select an answerv The sign of f(1) is Select an answerv - J J - ' The Sign of f (1) IS Select an answerv 1 Question Help: 8 Message instructor Submit Question Jump to Answer 0 Question 9 B 0/10 pts '0 100 3 99 (9 Details Given the function 9(3)) = 8:03 + 48:1:2 + 720:, find the first derivative, g'(a:). W) = Notice that g(a:) : 0 when a: = 3, that is, g'( 3) : 0. Now, we want to know whether there is a local minimum or local maximum at a: = 3, so we will use the second derivative test. Find the second derivative, 9' \"(35) 9' '(t') = Evaluate g' '( 3). 9"t-3)=:l Based on the sign of this number, does this mean the graph of 9(3) is concave up_ or concave down at a: = 3? At a; = 3 the graph ago) is Based on the concavity of g(3:) at a: = 3, does this mean that there is a local minimum or local maximum at a: = 3? _At a: = 3 there is a local Question Help: IE Video E Message instructor