Final answer:
The range of the function representing the number of pins left standing after a bowler's first roll is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, including every whole number from 0 to 10.
Step-by-step explanation:
The number of pins left standing, y, after a bowler rolls her first ball is a function of the number of pins she knocks down. To determine the range of this function, we consider all possible outcomes after the ball is rolled. If all pins are knocked down, 0 are left standing. Conversely, if no pins are knocked down, all 10 are left standing. Therefore, the range includes every whole number from 0 to 10, inclusive. So, the range of the function is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.