Determine the interval(s) on which the following function is continuous. At which finite endpoints of the intervals of continuity is f continuous from the left or continuous from the right? f(x) = 17x2 -84 The function is continuous on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) an example Get more help Clear all Check aDetermine whether the following function is continuous at a. Use the continuity checklist to justify your answer. if x # 1 f(x ) = X - ; a = 1 6 if x = 1 Select all that apply. A. The function is continuous at a = 1. B. The function is not continuous at a = 1 because f(1) is undefined. C. The function is not continuous at a = 1 because lim f(x) does not exist. x-+1 D. The function is not continuous at a = 1 because lim f(x) # f(1). X-+ 1 KUse a right triangle to write the following expression as an algebraic express Use sin 20 = 2 sin 0 cos 0) sin (2 cos 72x) Identify the right triangle that can be used to simplify the given expression. C O A 2x 2x 0 sin (2 cos -12x) = (Simplify your answer, including any radicals. Use integers or fractions for any toreyestion 2 Given s fox ) = 14 x2.84 To find : a) for) is continuous on inferval (s) b) finite endpoints of intervals of continuity of for continuous four left Continuous From the sight. solution s $ 7x 2-84 step (1: finding Domain of for Domain : 7x2-8+20 2 2 - 81 20 2 2 - 12 20 (: 2 + $ 12 ) ( PC= $12 ) 2 0 Hence domain of RexDHence we can see that FEED is continuous on (-0, - $12] and [ITZ, co) a The function is continuous on = [oo, - fiz], [-tiz, co) interval ( 8 ) b) from interval of continuity. we can see that, The finite end point for which f 18 continuous from left 18 - $12 "" After putting x# - Jiz we get the d and fur x ) TIZ weget Five ieDNE The finite end point for which f is continuous from sight 18 to12 . After putting x. = $12 we get five ) and for x