Answer
a) See table
b) See graph
c) $y=1$
Work Step by Step
We are given the function:
$f(x)=\dfrac{x^3}{x^3+x}$
a) Compute the values of $f$ for $x=\pm 50,\pm 100,\pm 500,\pm 1000$:
b) Plot the graph of $f$:
c) Determine the horizontal asymptote of $f$:
$y=1$