Question

Use a graphing utility to graph the function and identify any horizontal asymptotes.

f (x) = |x|/ x + 1

Answer 1

Step 1:

The function is .

Graph the function.

From the graph, it is clear that there are two horizontal asymptotes.

Right side horizontal asymptote is , When , and

Left side horizontal asymptote is , When .

solution:

Right side horizontal asymptote is , When .

Left side horizontal asymptote is , When .