By observing the graph we have got the following :
The graph is going down after the point (-7,0)
After the point (x,f(x)) =(-7,0) ,as x decreasing, the function f(x) is decreasing
[tex]as\text{ }x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty[/tex]
The graph is going up after the point (4,0).
After the point (x,f(x)) =(4,0), as x increasing, the function f(x) is increasing
[tex]as\text{ }x\rightarrow\infty,\text{ f(x)}\rightarrow\infty[/tex]
Hence we get
[tex]as\text{ }x\rightarrow\infty,\text{ f(x)}\rightarrow\infty\text{ and }as\text{ }x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty[/tex]
Hence the first option is correct.
