Question

(1 point) Let f(x) = 6x + Find the open intervals on which f is increasing (decreasing). Then determine the e-coordinates of all relative maxima (minima) 1. f is increasing on the intervals (-INF-sqrt(1/3)U(sqrt(1/3).INF) 2. fis decreasing on the intervals (-sqrt(1/3).0)0(0,sqrt(1/3)) 3. The relative maxima off occur at sqrt(1/3) 4. The relative minima off occur at z = sqrt(1/3) 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

Giren f(x) = 6x + 2 Critical points of f'(x) = 6-222=0 6= 2/2 = x ² / def 51- on 0€ f(x) is increasing wo 01 (-0, 71/2) = flex) on ( 7 / 10) = f(x) to a f(x) is decreesny on 1960, t) a flinico 2 fox) is decreasing loro flexzo a flx) is increasing f is increasing (-0, 7-sultan io) f is decreasing (Maro) u (orta) elekea f(x) hes relatie maximum at x = f(x) hes hinihinam at a=t because f'() 2 f(x>f> -L a 3 ko relatie Vs: