Find the largest and smallest values of the linear function obtained by performing y = 4x-2 on the segment [-2, 2].

There is a function:

y = 4 * x – 2.

The function is linear, the slope is a positive number, which means that the function is increasing along the entire number line, and, accordingly, a larger value of the argument corresponds to a larger value of the function. We get:

ymin = 4 * (-2) – 2 = -10;

ymax = 4 * (2) – 2 = 6.