Question

3. Побудуйте графік функції у = 2х – 4

Answer 1

графік побудовано на фото

Лінійна функція

при х=0  у=-4

при х=1  у= -2

при х=4  у=4

Answer 2

Graph of the Function u = 2x – 4

To graph the function u = 2x – 4, we can use the standard form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is -4.

The slope of 2 means that for every 1 unit increase in x, the value of y increases by 2. The y-intercept of -4 indicates that the graph crosses the y-axis at the point (0, -4).

Let's plot a few points to visualize the graph:

- When x = 0, y = 2(0) - 4 = -4 - When x = 1, y = 2(1) - 4 = -2 - When x = 2, y = 2(2) - 4 = 0

Now, let's plot these points and draw a straight line through them to represent the graph of the function u = 2x – 4.

Graph of u = 2x – 4:

     ^
     |
  3  |
     |
  2  |
     |
  1  |
     |
  0--+----------------->
     |  1  2  3  4  5  6

The graph is a straight line with a slope of 2, crossing the y-axis at -4.

This representation provides a visual understanding of how the function u = 2x – 4 behaves as x varies.