Could you help me with my calc work?

From the graph of g, state the intervals on which g is continuous. -4 -2 4 65 T O (-4, -2), (-2, 2). [2, 4]. (4, 6), (6, 8) O [-4, -2), (-2, 2), [2, 6), (6, 8) O [-4, -2), (-2, 2]. (2, 4). (4, 6), [6, 8) O [-4, -2), (-2, 4). (4, 6), (6, 8) O [-4, -2), (-2, 2), [2, 4), (4, 6), (6, 8)Show that fis continuous on (-00, 00). R(x ) = 1- x2 ifx1 In(x) if x>1 On the interval (-00, 1), fis ---Select-- V function; therefore fis continuous on (-00, 1). -Select- On the interval (1, c0), Fis -a polynomial unction; therefore fis continuous on (1, co). an exponential At x = 1, a root a logarithmic lim f(x) = lim a rational x-1- and lim f(x) = lim so lim /(x) = Also, ((1) = . Thus, fis continuous at x = 1. We conclude that is continuous on (-00, 00). *- 1Find all values of x for which the function is continuous. (Enter your answer in interval notation.) Vx 5(x) = x - 4x - 12xThe function y = (x) given below has a "removable discontinuity" at x = 3 . How would you define /(3) so that f would be continuous at x = 3 ? F(X)= x - 9x + 18 x + 8x - 33The toll 7 charged for driving on a certain stretch of a toll road is $5 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $7. (a) Sketch a graph of 7 as a function of the time t, measured in hours past midnight. -+t 7 10 16 19 24 7 10 16 19 24 O 5 10 16 19 24 7 10 i 19 24 (b) Locate the discontinuities of 7. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = Classify the discontinuities as removable, jump, or infinite. O removable O jump O infinite O none - 7 is continuous Discuss the significance of the discontinuities of 7 to someone who uses the road. O The function is continuous, so there is no significance. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 7 and t = 10 and between r = 16 and t = 19 if feasible. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 0 and & = 7, between t = 10 and t = 16, and between t = 19 and t = 24 if feasible. O Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates at t = 7 and t = 24 if feasible