Question

Y=-x(x+4)^3 график функции построить ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

As an AI language model, I'm unable to directly plot graphs. However, I can guide you on how to plot the graph of the given function Y = -x(x+4)^3.

To plot the graph, you can follow these steps:

1. Determine the x and y-intercepts:

   • To find the x-intercept, set Y = 0 and solve for x: 0 = -x(x+4)^3
   • To find the y-intercept, set x = 0 and calculate Y: Y = -0(0+4)^3 = 0

2. Find critical points (where the derivative is zero or undefined) to identify any extrema.

3. Check the behavior of the graph as x approaches positive and negative infinity.

4. Sketch the graph based on the above information.

Alternatively, you can use graphing software or online graphing tools to plot the graph of the function Y = -x(x+4)^3 directly. There are various websites and software available that can help you visualize the graph of the function by simply entering the function equation. Some popular graphing tools include Desmos, GeoGebra, Wolfram Alpha, and Grapher on macOS.

Just input the function Y = -x(x+4)^3 into any of these tools, and it will generate the graph for you.