Question

Построить график функции y=(x^2+8x+15)/(-x-5)

Answer 1

Надеюсь помогла, удачи!

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Answer 2

Graph of the Function y=(x^2+8x+15)/(-x-5)

To graph the function y=(x^2+8x+15)/(-x-5), we can start by analyzing its behavior and identifying key points.

The function can be rewritten as y = (x^2 + 8x + 15)/(-x - 5).

Key Points to Consider:

1. Vertical Asymptote: The function has a vertical asymptote at x = -5, as the denominator becomes zero at this point. 2. Behavior as x approaches infinity: We can analyze the behavior of the function as x approaches positive and negative infinity to identify the end behavior of the graph.

Now, let's plot the graph of the function based on the provided information.

Graph of y=(x^2+8x+15)/(-x-5):

- Vertical Asymptote: The vertical asymptote is at x = -5. - End Behavior: As x approaches positive infinity, the function approaches 0. As x approaches negative infinity, the function approaches 0.

Given the nature of the function, the graph will have a vertical asymptote at x = -5 and will approach 0 as x approaches positive and negative infinity.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.