Question

Raph of y = f(x) is graphed below. What is the end behavior of f(2)?

Answer 1

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

`as\text{ }x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty`

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

`as\text{ }x\rightarrow\infty,\text{ f(x)}\rightarrow\infty`

Hence we get

`as\text{ }x\rightarrow\infty,\text{ f(x)}\rightarrow\infty\text{ and }as\text{ }x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty`

Hence the first option is correct.