Question

построить график функции y=(x^2+1)/x

Answer 1

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Answer 2

Graph of the Function y = (x^2 + 1)/x

To graph the function y = (x^2 + 1)/x, we can start by analyzing its behavior and identifying key points.

Behavior of the Function: - As x approaches positive infinity, the function approaches y = x. - As x approaches negative infinity, the function also approaches y = x. - The function has a vertical asymptote at x = 0, as division by zero is undefined.

Key Points: - The function has a y-intercept at (0, 0) since y = (0^2 + 1)/0 is undefined. - The function has a hole at (1, 2) since y = (1^2 + 1)/1 = 2.

Now, let's plot the graph of the function y = (x^2 + 1)/x.

![Graph of y = (x^2 + 1)/x](https://chart.googleapis.com/chart?cht=xy&chs=500x500&chco=0072B2&chd=t:0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3,3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8,3.9,4,4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,5,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6,6.1,6.2,6.3,6.4,6.5,6.6,6.7,6.8,6.9,7,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8,8.1,8.2,8.3,8.4,8.5,8.6,8.7,8.8,8.9,9,9.1,9.2,9.3,9.4,9.5,9.6,9.7,9.8,9.9,10,10.1,10.2,10.3,10.4,10.5,10.6,10.7,10.8,10.9,11,11.1,11.2,11.3,11.4,11.5,11.6,11.7,11.8,11.9,12,12.1,12.2,12.3,12.4,12.5,12.6,12.7,12.8,12.9,13,13.1,13.2,13.3,13.4,13.5,13.6,13.7,13.8,13.9,14,14.1,14.2,14.3,14.4,14.5,14.6,14.7,14.8,14.9,15,15.1,15.2,15.3,15.4,15.5,15.6,15.7,15.8,15.9,16,16.1,16.2,16.3,16.4,16.5,16.6,16.7,16.8,16.9,17,17.1,17.2,17.3,17.4,17.5,17.6,17.7,17.8,17.9,18,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,18.9,19,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,19.9,20,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,21,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,22,22.1,22.2,22.3,22.4,22.5,22.6,22.7,22.8,22.9,23,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,24,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,25,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,26,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,27,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,28,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,29,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,30,30.1,30.2,30.3,30.4,30.5,30.6,30.7,30.8,30.9,31,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,32,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,33,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,34,34.1,34.2,34.3,34.4,34.5,34.6,34.7,34.8,34.9,35,35.1,35.2,35.3,35.4,35.5,35.6,35.7,35.8,35.9,36,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,37,37.1,37.2,37.3,37.4,37.5,37.6,37.7,37.8,37.9,38,38.1,38.2,38.3,38.4,38.5,38.6,38.7,38.8,38.9,39,39.1,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.9,40,40.1,40.2,40.3,40.4,40.5,40.6,40.7,40.8,40.9,41,41.1,41.2,41.3,41.4,41.5,41.6,41.7,41.8,41.9,42,42.1,42.2,42.3,42.4,42.5,42.6,42.7,42.8,42.9,43,43.1,43.2,43.3,43.4,43.5,43.6,43.7,43.8,43.9,44,44.1,44.2,44.3,44.4,44.5,44.6,44.7,44.8,44.9,45,45.1,45.2,45.3,45.4,45.5,45.6,45.7,45.8,45.9,46,46.1,46.2,46.3,46.4,46.5,46.6,46.7,46.8,46.9,47,47.1,47.2,47.3,47.4,47.5,47.6,47.7,