Question

Как находить наибольшее и наименьшее значение линейной функции??

Answer 1

Линейная функция может быть либо убывающая, либо возрастающая (на графике это прямая). общий вид уравнения 
у=kx+b, если k>0 то функция возрастающая и значит чем больше х, тем больше значение функции.

Answer 2

Finding the Maximum and Minimum Value of a Linear Function

To find the maximum and minimum values of a linear function, you can follow these steps:

1. Determine the Type of Function: - First, identify the linear function in the form of y = mx + b, where m represents the slope and b represents the y-intercept.

2. Identify the Slope (m) and Y-Intercept (b): - The slope (m) and y-intercept (b) are crucial in understanding the behavior of the linear function.

3. Determine the Maximum and Minimum Values: - For a linear function, the maximum or minimum value occurs at the vertex of the graph, which is the turning point of the function.

4. Use the Vertex Formula: - The x-coordinate of the vertex can be found using the formula x = -b / (2m). - Once you have the x-coordinate, substitute it into the original function to find the corresponding y-coordinate, which represents the maximum or minimum value.

5. Interpret the Results: - If the coefficient of x^2 is positive, the parabola opens upwards, indicating a minimum value. - If the coefficient of x^2 is negative, the parabola opens downwards, indicating a maximum value.

By following these steps, you can effectively find the maximum and minimum values of a linear function.