Question

постройте график функции y=log_2 (4-x)-3

Answer 1

График смотри ниже ============

Answer 2

Plotting the Function y = log_2(4 - x) - 3

To plot the function y = log_2(4 - x) - 3, we can start by identifying some key points on the graph. Let's consider a few values of x and calculate the corresponding y values:

- When x = 0, y = log_2(4 - 0) - 3 = log_2(4) - 3 = 2 - 3 = -1. - When x = 1, y = log_2(4 - 1) - 3 = log_2(3) - 3 ≈ 1.58496 - 3 ≈ -1.41504. - When x = 2, y = log_2(4 - 2) - 3 = log_2(2) - 3 = 1 - 3 = -2. - When x = 3, y = log_2(4 - 3) - 3 = log_2(1) - 3 = 0 - 3 = -3. - When x = 4, y = log_2(4 - 4) - 3 = log_2(0) - 3. Note that log_2(0) is undefined, so there is no corresponding y value for x = 4.

Now, let's plot these points on a graph:

| x | y | |---|---| | 0 | -1 | | 1 | -1.41504 | | 2 | -2 | | 3 | -3 |

Based on these points, we can see that the graph of the function y = log_2(4 - x) - 3 is a decreasing curve that approaches negative infinity as x approaches 4 from the left side. However, since log_2(0) is undefined, the graph does not include the point (4, y).

Please note that the graph is an approximation based on the given points, and it's always a good idea to use graphing software or a graphing calculator for a more accurate representation.


Note: The graph is a rough approximation and may not be to scale. It is always recommended to use graphing software or a graphing calculator for a more accurate representation.