Question

Побудуйте графік функції y=-2x-1 Потрібно зараз

Answer 1

график данной функции:

Answer 2

Graph of the Function y = -2x - 1

To plot the graph of the function y = -2x - 1, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept.

For the given function y = -2x - 1, the slope is -2 and the y-intercept is -1. This means that for every unit increase in x, the value of y decreases by 2 units, and the line intersects the y-axis at the point (0, -1).

To plot the graph, we can choose a range of x-values and calculate the corresponding y-values using the equation y = -2x - 1. Let's choose a range of x-values from -5 to 5.

| x | y | |---|---| | -5 | 9 | | -4 | 7 | | -3 | 5 | | -2 | 3 | | -1 | 1 | | 0 | -1 | | 1 | -3 | | 2 | -5 | | 3 | -7 | | 4 | -9 | | 5 | -11 |

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

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11 |
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          -5  -4  -3  -2  -1   0   1   2   3   4   5   x

The graph of the function y = -2x - 1 is a straight line that passes through the points (-5, 9), (-4, 7), (-3, 5), (-2, 3), (-1, 1), (0, -1), (1, -3), (2, -5), (3, -7), (4, -9), and (5, -11).

Conclusion

The graph of the function y = -2x - 1 is a straight line with a slope of -2 and a y-intercept of -1. It decreases by 2 units for every unit increase in x.