Question

need help with these.please.

I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 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 two, your answer should be a comma separated list of a values or the word "none".

Answer 1

1 28 -8 X + 8 f'(x = (x+8) (1-8) (x + 8) 2 (a + og 2 f.ro tx ER always increasing Graph a fcx 1 0 8 f increasing in the interval 26 (-10, b) u (-8, 60, OR at (-INF 6) u (-8, INF) 2. f is decreasing on the funerwal NONE The relative making + occus at NONE The relative Minima off occur at NONE

f(x) = + () Xo f'(x to f" (x) K 12 x now I'ex=0 K a 2 f"U minima f"(-1) Lo Maxima f(x) Graph O 1. fixs is increasing at 1-INF,-1) U (1, INF) fixs is decreasing (-1,0) V (O) 3. local Maximum at Tu = 1 local Minimum at 1 = -1
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