Question

Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.

The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.

Answer 1

-3

Explanation:

Answer 2

Answer: The graph approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.

Explanation:

Given Function: f(x)=
`(3x)/(4-x)`

Now, we divide numerator and denominator by x and we get,

⇒
`f(x)= (3)/(4/x-1)`

If x approaches to infinity.

Therefore,
`\lim_(x\rightarrow \infty)f(x)`

then
`f(x)\rightarrow -3`

Thus, we can say f(x) approaches -3 as x approaches infinity