Question

Постройте график функции и опишите ее свойства. y=x^-4+2. Помогите пожалуйста. Не понимаю как это делать.

Answer 1

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Answer 2

Graph of the Function y = x^-4 + 2

To graph the function y = x^-4 + 2, let's first understand its properties and then plot its graph.

Function Properties: 1. The function y = x^-4 + 2 is a power function with a negative exponent. 2. As x approaches positive or negative infinity, the value of x^-4 approaches 0, so the function approaches 2. 3. The function has a vertical asymptote at x = 0, as x cannot equal 0 due to the negative exponent.

Graph Description:

The graph of the function y = x^-4 + 2 will have the following properties: - It will approach 2 as x approaches positive or negative infinity. - It will have a vertical asymptote at x = 0, as x cannot equal 0 due to the negative exponent.

Now, let's plot the graph of the function y = x^-4 + 2 to visualize these properties.