How to find the coordinates of the points of intersection of the graph of a function with the coordinate axes?

The graph of the function intersects the coordinate axes at the points where the values x = 0 or y = 0, and to find such points, it is necessary to substitute the coordinates x = 0 and y = 0 into the function and solve the equation.

Example.

y (x) = 2 * x – 2

1. Substitute the value x = 0 and get

y (x) = 2 * 0 – 2 = -2.

Therefore, the given function y (x) intersects the ordinate axis at the point (0, -2).

2. Substitute the value y (x) = 0 and get

2 * x – 2 = 0

2 * x = 2

x = 1

Therefore, the graph of the function crosses the abscissa at the point (1, 0).