Exercise 2.20 Where is the following function continuous? f (a) = 2+ 5 2 2 - 9 Exercise 2.21 Evaluate sin x lim T-7 2 + COS X Exercise 2.22 Evaluate lim sin(a2) Exercise 2.23 What value should the variable a have in order to make the following piecewise function continuous? f ( 20 ) = 2- 2 if x 3 Classroom Activity : Could do this desmos activity either WITH the class our outside of class: Limits and Continuity PageCal State East Bay Math 130 Chapter 2 Section 2.6 Exercise 2.24 Use the Intermediate Value Theorem to show that there is a root of the given equation x4-6x-15 = 0 on the interval (2, 3). NOTE: First thing to do is to create a function: Let f(x) = 24 - 6x - 15. Find f(2) = Find f (3) = Is one of these function values positive and one of these function values negative? yes or no? 2