Problem 2: Euler's Method Approximation (25 points) For the function f(x) given in Problem 1, we split the interval [1,4] into the sub-intervals [1, 2], [2, 3], and [3,4]. On each sub-interval, we want our approximation function E(x) to be linear. This kind of function can be written as follows: mox + bo if 1 x 2 E(x) == mx + b if 2 < x