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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.

Respuesta :

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)= [tex]\frac{3x}{4-x}[/tex]

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

⇒ [tex]f(x)= \frac{3}{4/x-1}[/tex]

If x approaches to infinity.

Therefore, [tex]\lim_{x\rightarrow \infty}f(x)[/tex]

then [tex] f(x)\rightarrow -3[/tex]

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

Answer:

-3

Step-by-step explanation:


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