<u><em>Answer:</em></u>
As x approaches negative infinity, f (x) approached negative infinity
<u><em>Explanation:</em></u>
The graph of the given function is shown in the attached image.
<u><em>Let's check the options given:</em></u>
<u>Option 1:</u>
<span>As x approaches positive infinity, f(x) approaches negative infinity.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity
<u>Option 2:</u>
</span><span>As x approaches negative infinity. f(x) approaches negative infinity.
</span>This option is correct as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity
<u>Option 3:</u>
<span>As x approaches negative infinity, f(x) approaches positive infinity.
</span>This option is incorrect as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity
<u>Option 4:</u>
<span>As x approaches positive infinity, f(x) remains constant.
</span>This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity
Hope this helps :)
As x approaches negative infinity, f (x) approached negative infinity
<u><em>Explanation:</em></u>
The graph of the given function is shown in the attached image.
<u><em>Let's check the options given:</em></u>
<u>Option 1:</u>
<span>As x approaches positive infinity, f(x) approaches negative infinity.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity
<u>Option 2:</u>
</span><span>As x approaches negative infinity. f(x) approaches negative infinity.
</span>This option is correct as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity
<u>Option 3:</u>
<span>As x approaches negative infinity, f(x) approaches positive infinity.
</span>This option is incorrect as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity
<u>Option 4:</u>
<span>As x approaches positive infinity, f(x) remains constant.
</span>This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity
Hope this helps :)
