10:18 PM Tue Mar 29 pdsbelearningontarioca 3. Use the formal definition of continuity to determine if the functions below are continuous at the 3 0f 3 given points: (communication) x35x, x 2 4. Create an equation for a function, f (x) with the following 3 characteristics (thinking) 1'. lim f(x) =JLr51+f(x) x->2' ii. The function is discontinuous at x = 2 iii. Ajump discontinuity exists at x = 4 5. Anjem has just started to lift weights. He plots out the amount of weight he curls for his workout routines over the course of a year on a graph. He finds that the mass he can curl is a function of the time since he started working out. The equation of the function is given at 1110:) = 3%? + 15 where m(t) is the mass in lbs he curls with respect to t, the time in weeks since he started working out. a. What is his average rate of improvement in lbs/week over the course of his first 9 weeks? Round your answer to the nearest tenth. b. What is his rate of improvement during his 5'\" week? Round your answer to the nearest tenth. 10:18 PM Tue Mar 29 37% pdsb.elearningontario.ca 2 of 3 1. Evaluate each of the limits below if they exist. If they do not exist, write DNE (knowledge) a. lim Vx + 2 - 9 b. lim (x-27)3+3 x-23 X c. lim 1x-21(x+3) |x+31 d. lim - X X - -3 x-0Vx+36 -6 2. For the function f (x) = , find the equation of the tangent to the curve at x = -5 using the difference quotient (knowledge)