For the following functions a. and b., i describe the behavior of f(x) as x → ±∞, ii. find all zeros

Question: User: For the following functions a. and b., i describe the behavior of f(x) as x → ±∞, ii. find all zeros of f , and iii. sketch a graph of f. a. f(x) = −2x² + 4x − 1 b. f(x) = x³ − 3x² − 4x Graph shape: top-right, a downward-opening parabola for a. with a y-intercept of −1 and vertex near (1, 1); bottom-left, a cubic for b. with three x-intercepts at x = 0, x = −1, and x = 4, rising to the right and falling to the left.