y (x) = sin(2π · x) with x ∈ [−1/4, 1/4]
(a) Calculate the zeros and local extrema (min/max values) and examine the monotonicity and symmetry behavior of the function. Give the domain and range values of the function.
(b) compare the orginal function with the straight line y = 4 · x for x ∈ [−1/4, 1/4] by comparing zeros and global extremes and comparing the function values at the positions x = −0.25, −0.2, −0.1, 0, 0.1, 0.2, 0.25. What do you notice when comparing?
