The function is given by the formula y = (0.5x-2) / 3 without performing construction

The function is given by the formula y = (0.5x-2) / 3 without performing construction, find the coordinates of the points of intersection with the x-axis; y. is increasing?

At the point of intersection of the graph of the function with OX, the value of y is equal to zero. At the point of intersection with the DT, x is zero. To find the OX coordinate in the first case, we equate y to zero. To find the OY coordinate in the second case, set x to zero.

1. (0.5x – 2) / 3 = 0.

0.5x – 2 = 0.

0.5x = 2.

x = 4.

(4; 0).

2.y = (0.5 * 0 – 2) / 3 = – 2/3.

(0; – 2/3).

This function is linear, so its graph is presented as a straight line. Since k = 0.5, that is, it is a positive number, it increases.