Find the largest value of the linear function y = -5x + 4 on the interval [-2; 0]

Linear function graph – straight line.

The function can be either increasing or decreasing. This is determined by the coefficient in front of x. If the coefficient is positive, then the function increases, and if it is negative, then the function decreases. We have k = – 5, which means that the function is decreasing.

The linear function takes the largest and smallest values ​​at the ends of the segment. If the function increases, then the smallest value in the abscissa of the point located to the left, and the largest value – in the point with the abscissa located to the right. For a decreasing function, the opposite is true. This means that the function y = – 5x + 4 takes the largest value in the interval [- 2; 0], at the point with the abscissa located to the left, that is, at the point with x = -2.

y (- 2) = – 5 * (- 2) + 4 = 10 + 4 = 14.