Question

В одной системе координат постройте график функции y=|x|

Answer 1

Y=x
y=-x
...............

Answer 2

Plotting the Graph of y = |x|

To plot the graph of the function y = |x| in a single coordinate system, we can use the absolute value function to determine the values of y for different values of x.

The absolute value function y = |x| is defined as follows: - For x ≥ 0, y = x - For x < 0, y = -x

Let's plot the graph of this function.

Graph of y = |x|

For the function y = |x|, the graph will consist of two lines: - For x ≥ 0, the graph will be the line y = x - For x < 0, the graph will be the line y = -x

We can represent this graph as follows:

For x ≥ 0:
|x| = x

For x < 0:
|x| = -x

The graph will show a "V" shape, with the vertex at the origin (0, 0) and the lines extending upwards and downwards from the origin.

This representation captures the behavior of the absolute value function, where the output is always non-negative.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.