Question

question 9 from A to F

9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty. • If you are asked to find a limit, enter either a number, I for o, -l for -->, or DNE if the limit does not exist. decreas- If there (a) Calculate the first derivative of f. Find the critical num- bers off, where it is increasing and decreasing, and its local extrema . If there 5 concave Critical numbers x = Union of the intervals where f(x) is increasing s concave Union of the intervals where f(x) is decreasing f there are Local maxima x = .. Local minina x =

Answer 1

riven, f(u) = 2u² n²ng á 2 + 18 = - u?-9 8'(a)=-36n (2²-g) 2 [n=0 critical points flu) is increasing ina 1-00,-3) U(-3,0) find is decreasing ina (0,3) "(3,00) Local manimum (n=0 Local minimum » NONE kim im .2n? .in ng n²rg = x (I) kim 2u3 -37 23 -I lim 2n? a K -9 = - I M → 2 1 242 na 37 x ²9 - → = 2 → c) f'(x) = (x 9)(-36) + 36w (44 (429)) (1293) f''() = 36 (3u?+ 9) (n²g j3

1-00,-3) U(3,00) concame up= Concave down = (-3,3) Inflection point? Put of "(m) 20 n²--3 ( Not enist) DNE 1. d) symmetic 1. e) function f is even because for alln in the domain of of. - symmetric about y-am's. Domain : NER-{-3,3} Range -- HERR na intercept: Th=0 g -inteoeeft: 1420 Wo.-3 il If I am able to convince. you. then; one like takes one second-only: Thanks.