Find the smallest value of the linear function y = 3x-1 on the segment [1; 3].

Find the smallest value of the linear function y = 3 * x – 1 on the segment [1; 3].

First, find the derivative of the function y = 3 * x – 1.

y ‘= (3 * x – 1)’ = (3 * x) ‘- 1’ = 3 * x ‘- 0 = 3 * x’ = 3 * 1 = 3;

Hence we find that the smallest value of the linear function is equal to y = 3.

Answer: the smallest value of a linear function is y = 3.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.