Question

(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the quotation marks. Increasing (C) Use interval notation to indicate where f(x) is decreasing Decreasing: (D) Find the coordinates of all local maxima of if there are no local maxima, enter -1000. If there are more than one, enter them separated by commas. Local maxima at (E) Find the x-coordinates of all local minima off. If there are no local minima, enter-1000. If there are more than one, enter them separated by commas. Local minima ata (F) Use interval notation to indicate where f() is concave up. Concave up:

Answer 1

fla) (22) a) ceutical points ane delutions of ')=0 .41039) 2x ella)=0 2=0,3,3 ceutical value (i) = 10, 3,3 interval sign of fla (o, Ro 20 (-3,0) (0,3) (3,0) >o f(x) is increasing on interval where f(x) >O and decreasing where f'(x)>0 Increasing (-3,0) 013, c) decreasing (-09-3) U10,3) CS Scanned with CamScanner

d ) has a If at a x=a, flag f'/al=0 local minima and s'lalzo then Here ܐ ܐ {"(22) a = 0, 3,-3 1Q (28) (722-9132 + 4(x²-a) 2 9 22 3 filo = 4(-a) a 2 <0 0 + ( 3 f"1-3 3) = 0 . To local minima at n = D CS Scanned with CamScanner