Question

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

Answer 1

Answer:

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

Step-by-step explanation:

We were given the function

$f(x)=\frac{x}{2x}$

which could be simplified as

$f(x)=\frac{x}{2x}=\frac{1}{2}$

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.