consider the graph of f(x). which statement is true about the function represented by the graph? as x…

consider the graph of f(x). which statement is true about the function represented by the graph? as x approaches negative infinity, f(x) approaches negative infinity, and as x approaches infinity, f(x) approaches infinity. as x approaches negative infinity, f(x) approaches -4, and as x approaches infinity, f(x) approaches 2. as x approaches negative infinity, f(x) approaches 9, and as x approaches infinity, f(x) approaches -9. as x approaches negative infinity, f(x) approaches infinity, and as x approaches infinity, f(x) approaches negative infinity.

consider the graph of f(x). which statement is true about the function represented by the graph? as x approaches negative infinity, f(x) approaches negative infinity, and as x approaches infinity, f(x) approaches infinity. as x approaches negative infinity, f(x) approaches -4, and as x approaches infinity, f(x) approaches 2. as x approaches negative infinity, f(x) approaches 9, and as x approaches infinity, f(x) approaches -9. as x approaches negative infinity, f(x) approaches infinity, and as x approaches infinity, f(x) approaches negative infinity.

Answer

Explanation:

Step1: Analyze left - hand end - behavior

As (x) approaches negative infinity, we look at the left - most part of the graph. The graph of (y = f(x)) is going downwards. So, (f(x)) approaches negative infinity as (x\to-\infty).

Step2: Analyze right - hand end - behavior

As (x) approaches positive infinity, we look at the right - most part of the graph. The graph of (y = f(x)) is going upwards. So, (f(x)) approaches positive infinity as (x\to+\infty).

Answer:

As (x) approaches negative infinity, (f(x)) approaches negative infinity, and as (x) approaches infinity, (f(x)) approaches infinity.