Find the largest value of the linear function y = -3x + 15 over the interval | -5; 7 |

1. We have a linear function y = -3x + 15 with a negative coefficient. In this case, the function decreases over the entire range of real numbers, from which it follows that the larger value of the argument corresponds to the smaller value of the function.

2. Therefore, the largest value in the interval [-5; 7] the function reaches on its left border:

y = -3x + 15;
ymax = y (-5) = -3 * (-5) + 15 = 15 + 15 = 30.
Answer. The largest value of the function in the interval [-5; 7]: 30.