Question

Y=|x²-5x| раскрыть модуль и построить график

Answer 1

Решение смотри в приложении

Answer 2

Solving the Equation and Graphing the Function

To solve the equation Y=|x²-5x| and graph the function, we first need to expand the absolute value expression and then plot the resulting function.

The absolute value of a number is its distance from zero on the number line. For any real number x, the absolute value of x is denoted as |x| and is defined as follows: - If x is greater than or equal to 0, then |x| = x. - If x is less than 0, then |x| = -x.

In the given equation, Y=|x²-5x|, we need to consider two cases: 1. When x²-5x ≥ 0, the absolute value expression simplifies to Y=x²-5x. 2. When x²-5x < 0, the absolute value expression simplifies to Y=-(x²-5x).

Let's proceed to solve these two cases and graph the resulting function.

Case 1: x²-5x ≥ 0

In this case, the absolute value expression simplifies to Y=x²-5x.

Case 2: x²-5x < 0

In this case, the absolute value expression simplifies to Y=-(x²-5x).

Now, let's plot the graph of the resulting functions for both cases.