Find the largest value of the function y = -3x + 7 on the segment 0; 1.

The function given by the formula y = -3x + 7 is linear. The coefficient at the variable x, that is, k = -3 is less than 0, then this function is decreasing, and therefore its largest value on the segment [0; 1] is achieved at x = 0. We get:
y (0) = -3 * 0 + 7;
y (0) = 0 + 7;
y (0) = 7.
Consequently, the maximum value of the function y = -3x + 7 on the interval [0; 1], it is not achieved at x = 0 and is equal to 7.
Answer: Ovtet: 7 at x = 0.