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Which statement describes the behavior of the function 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.

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The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

The behavior of the graph is presented by the function;

f(x)= 3x/4-x

Forming a table to see the behavior,

x          f(x)

1            1

2            3

3            9

4             infinity

5             -15

6              -9

7             -7

8             -6

This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.

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Keywords : statements, behavior, function, graph

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Answer:

A. The graph approaches –3 as x approaches infinity.

Step-by-step explanation:

when looking at the problem F (x) + 3x/x-4 the answer would lead up to..

Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }

Range:  ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }

are what it leads to and seeing the range -3 would have x as infinite/ -∞

so A is the correct option to me

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