Please answer the question using specific below this is a derivative discussion please include the image thank you

Instructions - Answer 2 questions as specified below . Post for questions 1 and 4 OR post for questions 2 and 3. . Type question number. Problem Given below is a piecewise function with 2 rules, each with its own domain. H(I) = | 423 if x 2 Question 1 - Continuity graphically For what values of a and b will the function H(x) be continuous at a - 2? Find answer using Desmos. Graph the piecewise function in Desmos, entering each rule with its domain. Adjust the values of a and b using slider (or you can input after =) such that the graph of H!x) is continuous at x=2. Let the 2 graphs be in different colors. Use snipping tool or screenshot and save image of the continuous graph. Multiple answers possible. "In your post, type the values of a and b that make H() continuous. Upload the graph. Question 2 - Continuity analytically For what values of a and b will the function H(r) be continuous at a = 2? Find answer by using meaning of continuity. A function is continuous at a = 2 if the function value on either side approach H (2) as x approaches 2. Upload image of work done on paper. Multiple answers possible. Question 3 - Differentiability graphically For what values of a and b will the function H(x) be differentiable (derivative or slope exists) at 2 = 2? Find answer using Desmos. Graph the piecewise function in Desmos, entering each rule with its domain. Adjust the values of a and b using slider (or you can input after =) such that the graph of H(x) is differentiable (smooth) at x-2. Let the 2 graphs be in different colors. Use snipping tool or screenshot and save image of the continuous graph. In your post, type the values of a and b that make H(a) differentiable, Upload the graph. Question 4 : Differentiability analytically For what values of a and b will the function #7(#) be differentiable (slope of tangent exists) at a - 2? Fin | answer by using meaning of derivative, A functions differentiable at a = 2 if the slope value on either side approach one particular value, that becomes slope at & # 2