Question

Не виконуючи побудови, знайдіть координати точок перетину графіка функції у = -0,2х + 4 з. осями координат. ри якому значенні k графік функції у = kx - 4 проходить через точку В (14;-18)? Побудуйте графік функції y={−3,якщоx<−4;0,5x,якщоx≥−4. ПОМОГИТЕ ЭТО ПОСЛЕДНИЕ БАЛЫ ВСЁ ЧТО ЕСТЬ

Answer 1

Ответ:

На фото

Объяснение:

На фото

Answer 2

Finding the Intersection Points of the Function Graph with the Coordinate Axes

To find the coordinates of the intersection points of the graph of the function y = -0.2x + 4 with the coordinate axes, we need to determine the points where the graph intersects the x-axis and the y-axis.

1. Intersection with the x-axis: - When the graph intersects the x-axis, the y-coordinate is equal to zero. - Setting y = 0 in the equation y = -0.2x + 4, we can solve for x: ``` 0 = -0.2x + 4 0.2x = 4 x = 4 / 0.2 x = 20 ``` - Therefore, the graph intersects the x-axis at the point (20, 0).

2. Intersection with the y-axis: - When the graph intersects the y-axis, the x-coordinate is equal to zero. - Setting x = 0 in the equation y = -0.2x + 4, we find: ``` y = -0.2(0) + 4 y = 4 ``` - Therefore, the graph intersects the y-axis at the point (0, 4).

So, the coordinates of the intersection points of the graph of the function y = -0.2x + 4 with the coordinate axes are: - Intersection with the x-axis: (20, 0) - Intersection with the y-axis: (0, 4)

Determining the Value of k for the Graph of y = kx - 4 to Pass Through Point B (14, -18)

To determine the value of k for the graph of y = kx - 4 to pass through the point B (14, -18), we substitute the coordinates of point B into the equation and solve for k.

Substituting x = 14 and y = -18 into the equation y = kx - 4, we have: ``` -18 = k(14) - 4 -18 = 14k - 4 14k = -18 + 4 14k = -14 k = -14 / 14 k = -1 ```

Therefore, the graph of y = -x - 4 passes through the point B (14, -18) when k = -1.

Graphing the Function y = {−3, if x < -4; 0.5x, if x ≥ -4}

To graph the function y = {−3, if x < -4; 0.5x, if x ≥ -4}, we can plot points on a coordinate plane based on the given conditions.

1. For x < -4: - When x is less than -4, the function value is -3. - We can plot a point at (-4, -3) to represent this part of the graph.

2. For x ≥ -4: - When x is greater than or equal to -4, the function value is 0.5x. - We can plot additional points on the graph using different x-values and calculating the corresponding y-values. - For example, when x = -3, y = 0.5(-3) = -1.5. So, we can plot the point (-3, -1.5). - Similarly, when x = 0, y = 0.5(0) = 0. So, we can plot the point (0, 0). - We can continue this process to plot more points on the graph.

By connecting the plotted points, we can obtain the graph of the function y = {−3, if x < -4; 0.5x, if x ≥ -4}.

Please note that without specific values for x, it is not possible to provide a more detailed graph.