Question

Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the range of the function?

Answer 1

The range of the function, representing the number of pins left standing (y) after a bowler rolls her ball, is from 0 to 10.

Step-by-step explanation:

The question relates to the concept of functions in mathematics, particularly the range of a function. In bowling, initially 10 pins are standing. If the bowler knocks down some pins, the number of pins left standing, denoted as y, depends on the number of pins she knocks down. This illustrates a function where the number of pins knocked down is the input (independent variable), and the number of pins left standing is the output (dependent variable).

For the range of this function, we look at all the possible values that y can take. Since a bowler can knock down anywhere from 0 to 10 pins, the number left standing can be from 10 (if 0 pins are knocked down) down to 0 (if all pins are knocked down). Therefore, the range of the function is the set of values from 0 to 10.