3. L7: I can compute average rates of change and find slopes of secant lines.D1: I can explain the purpose of each symbol in the limit definition of derivative. I can illustrateeach part of the definition graphically and explain the role of the limit.D5 I can use the limit definition of the derivative to determine the differentiability of a functionat a point.Use k(x) =-2x + 6-2x + 5x < 2x ≥ 2to answer the following questions. H#33(e) When x = 2, k(x) IS/ IS NOT continuous, and k(x) IS/ IS NOT differentiable. (Circle thecorrect responses.)(f) (D1) Explain the what the following items are with respect to the definition of derivative:i. hEii. k(2+h)-k(2)iii.k(2+h)-k(2)hiv. When we take the limit, h is approaching what value and why?v. Why do we need to use a limit when defining the derivative? Why couldn't we do thiswith arithmetic and algebra?4R%5秋TA64Y())&7U8(90C10KE

Answered: Image /qna-images/answer/577dc96f-be3c-483f-9c92-8c3df76bfb85.jpg

3. L7: I can compute average rates of change and find slopes of secant lines. D1: I can explain the purpose of each symbol in the limit definition of derivative. I can illustrate each part of the definition graphically and explain the role of the limit. D5 I can use the limit definition of the derivative to determine the differentiability of a function at a point. Use k(x) = -2x + 6 -2x+5 x < 2 x ≥ 2 to answer the following questions.