Sketch careful, labeled graphs of each function f.

Question

f(x) = x/ x^2 + 1

Answer 1

The Function is x/(x²+1).

Let y = x/(x²+1)

Let us draw the table for f(x) with different values of x.

x	-5	-3	-1	1	3	5
y=x/(x²+1)	-0.1923	-0.3	-0.5	0.5	0.3	0.1923

Graph

Draw the coordinate plane.

Plot the above table

Connect the plotted points.