Question

Помогите пожалуйста) Объясните,как вычислить координаты точек пересечения графиков функции с осями координат

Answer 1

Все просто. Чертишь графики. В точке соприкосновения с осями (они их как- бы"пересикают"). ставишь Название точки, к примеру A и пишешь ее координаты. по X и по Y. Оформлять так: (пример)
A(0;5)

Answer 2

Calculating Intersection Points of Function Graphs with Coordinate Axes

To calculate the coordinates of the points of intersection of a function's graph with the coordinate axes, you can follow these steps:

1. Intersection with x-axis: - To find the x-intercepts, set the function equal to zero and solve for x. - The x-intercepts are the points where the graph crosses the x-axis. - The coordinates of the x-intercepts are in the form (x, 0).

2. Intersection with y-axis: - To find the y-intercept, substitute x = 0 into the function and solve for y. - The y-intercept is the point where the graph crosses the y-axis. - The coordinates of the y-intercept are in the form (0, y).

3. Example: - Let's consider the function y = x^2 - 4x + 11. - To find the x-intercepts, solve for x when y = 0. - x^2 - 4x + 11 = 0 - Use the quadratic formula or factorization to solve for x. - To find the y-intercept, substitute x = 0 into the function. - y = 0^2 - 4(0) + 11 - y = 11 - Therefore, the y-intercept is (0, 11).

By following these steps, you can calculate the coordinates of the points of intersection of a function's graph with the coordinate axes.