Determine the intervals on which the following function is continuous. p(x) = 3x4 + 6x3 + 5 C" The function is continuous on the interval(s) |:|. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) What value should be assigned to f(2) to make the extended function continuous at x = 2? 2 1 1 S x Select all that apply. E] A. The function is continuous at a = - 7. E] B. The function is not continuous at a = 7 because f( 7) is undened. [:1 c. The function is not continuous at a = 7 because lim f(x) does not exist. x> 7 E] D. The function is not continuous at a = 7 because lim f(x) f( 7). x> 7 Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. f(x)=4./x-9;a=2 E) Select all that apply. [:1 A. The function is continuous at a = 2. [:1 B. The function is not continuous at a = 2 because f(2) is undened. [:1 c. The function is not continuous at a = 2 because lim f(x) does not exist. x>2 [:1 D. The function is not continuous at a = 2 because lim f(x);tf(2). x>2 Determine the intervals on which the following function is continuous. x2-4x+3 x) = x2 - 9 On what interval(s) is f continuous? D (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) Homework: Homework #4 2.6Continuous Functions a. Use the continuity checklist to show that f is not continuous at 3. b. Is f continuous from the left or right at 3? c. State the interval(s) of continuity. x2+2x ifx>3 x) = 3x if x S 3 a. Why is fnot continuous at 3? A. f(3) is not dened. .2: B. Although lim f(x) exists, it does not equal f(3). x>3 * C. lim f(x) does not exist. x>3 b. Choose the correct answer below. 0 A. f is continuous from the right at 3. O B. f is not continuous from the left or the right at 3. O C. f is continuous from the left at 3. Determine the interval(s) on which the following function is continuous. At which nite endpoints of the intervals of continuity is fcontinuous from the left or continuous from the right? f(x) = 3x2 36 The function is continuous on the interval(s) 1:. (Type your answer in interval notation. Use a comma to separate answers as needed.)