Given:
The graph of a function.
To find:
The range of the graphed function.
Solution:
We know that, the domain is the set of x-values and range is the set of y-values values.
From the given graph it is clear that the functions is defined for all real values of x.
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to 2\text{ as }x\to \infty[/tex]
The values of the function lie in the interval [tex]-\infty<y<2[/tex].
Range of the function [tex]=-\infty<y<2[/tex]
Therefore, the range of the graphed function is [tex]-\infty<y<2[/tex] and the correct option is A.
