Question

Постройте график функции y=5 и опешите ее свойство x

Answer 1

Особенность в том,что она параллельна прямой абцисс.

Answer 2

Graph of the Function y = 5

The function y = 5 represents a horizontal line at the y-coordinate 5. This means that for every value of x, the y-coordinate remains constant at 5. The graph of this function is a straight line parallel to the x-axis, passing through the point (0, 5).

Properties of the Function y = 5

The function y = 5 has the following properties:

1. Constant Function: The function y = 5 is a constant function because the value of y remains constant at 5 for all values of x.

2. Horizontal Line: The graph of the function y = 5 is a horizontal line parallel to the x-axis. It does not change its y-coordinate as x varies.

3. No x-Intercepts: Since the y-coordinate is always 5, the function y = 5 does not intersect the x-axis. There are no values of x for which y equals zero.

4. No Slope: The function y = 5 has a slope of zero because it is a horizontal line. The slope represents the rate of change of y with respect to x, and since y does not change, the slope is zero.

5. Domain and Range: The domain of the function y = 5 is the set of all real numbers, as there are no restrictions on the values of x. The range of the function is the single value 5, as the y-coordinate remains constant.

Here is a graph of the function y = 5:

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