How do you find the domain and range of #f(x) = x/(x^2 +1)#?
2 Answers
The domain of
and the range is
Explanation:
Solving for the domain of
By contemplating the output of our function, we will notice that, from the right the function is decreasing until the point
From either direction,
Therefore the highest point on our graph is
The domain is
Explanation:
The denominator is
The domain is
To find, the range procced as follows :
Let
In order for this quadratic equation to have solutions, the discriminant
Therefore,
The solution to this inequality is
The range is
graph{x/(x^2+1) [-3, 3.93, -1.47, 1.992]}