Question

In Exercise,find the horizontal asymptote of the graph of the function.
f(x) = x/2x

Answer 1

The horizontal asymptote for the function f(x) is 1/2

Explanation:

We were given the function

`f(x)=(x)/(2x)`

which could be simplified as

`f(x)=(x)/(2x)=(1)/(2)`

this means that the function is a constant of value 1/2 for all value of x.

Then, in particular, the value of f will be 1/2 for x when x tends to infinite and minus infinite.

And because to find the horizontal asymptote of a function we have to calculate the limit of the function when x tends to infinite or minus infinite, we can ensure that this asymptote has also the value 1/2 of f.