- Randomly Pick Three Integers Between 22 And 60 Let S Call Them J K And L Where J K L E G 28 39 52 J 23 K 2 1 (47.28 KiB) Viewed 38 times
Randomly pick three integers between 22 and 60. Let's call them J, K, and L, where J < K<L. (e.g. 28, 39, 52) J = 23 K=25 L = 30 1) A study shows the average number of test questions a math teacher puts on a test with respect to the teacher's age. The raw data is given in Desmos (age is column #1): https://www.desmos.com/calculator/68wucpsy7q a) Model the data on Desmos, so that the number of questions put on a test is a quadratic function of age in years. Supply your function equation below. Part (b) to (f) are based on this function, which is uniquely yours. Ans: f(x) = b) Compute, on Desmos, m,, the average rate of change of f(x) between x = J and L. Then, draw the (secant) line that connects these two points. c) Compute, on Desmos, m₂, the instantaneous rate of change of f(x) at x = K, using the concept that the instantaneous rate may be approximated by the average rate of change, when the increment becomes very small. Then, draw the tangent line at x = K.