The snowfall is too heavy to see the mountains, or the peak where the enemy is, but we have mapped this range before, and it looks like the function:

f (x) = -2x² + 3

Where is the max point? (Hint: use the First Derivative Test.)

(0, -2) (3, 0) (0, 3) (0, 0)

Heavy snowfall again. Take out any snipers on peaks first, then those in any valleys. The mountain range looks like the function:

f (x) = 2x³ - 3x² - 12x + 10

Where are the max and min points? (Hint: use the First Derivative Test.)

max at (0, 10), min at (0, 10) max at (-1, 17), min at (2, -10) max at (1, 17), min at (-2, -10)

Heavy snowfall still. Take out any snipers on peaks first, then those in any valleys. The mountain range looks like the function:

f (x) = e^x - x - 4

Where are any max and min points? (Hint: try the Second Derivative Test.)

max at (0, -3), no min max at (-1, e), min at (1, -e) min at (0, -3), no max

Heavy snowfall still. Take out any enemies - in the peaks and valleys. The mountain range looks like the function:

f (x) = x³ - 3x + 1

Where are the max and min points? (Hint: use the First or Second Derivative Test.)

max at x = (-1, 3), min at x = (1, -1) max at x = (1, -1), min at x = (-1, 3) max at x = (-1, 1), min at x = (1, -1)

Game Over

All missions complete. You win!