The answer is: [-2,2]
<h2>Why?</h2>The range of a function shows where the function can exist in the y-axis.
To know the range of the function, we have to isolate x,
So
The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.
Therefore,
The range of the function is [-2,2]
Have a nice day!
Given:
To find the vertical and horizontal asymptotes:
The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.
But, here there is no such point.
Thus, the function f(x) doesn't have a vertical asymptote.
The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.
Thus, y = 0 is the horizontal asymptote for the given function.