Answer:
D
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.
Let's take a look at each end.
As x approaches negative infinity:
We can see from the graph that as x approaches negative infinity (a.k.a as x goes towards the left), the graph is curving upwards.
Therefore, as x approaches negative infinity, f(x) approaches positive infinity.
Therefore, the end behavior of the left is:
[tex]\text{As } x\rightarrow -\infty, f(x)\rightarrow\infty[/tex]
As x approaches (positive) infinity:
We can see from the graph that as x approaches positive infinity (as x is moving towards the right), the graph f(x) is curving downwards.
Therefore, as x approaches positive infinity, f(x) approaches negative infinity.
Therefore, the end behavior of the left is:
[tex]\text{As } x\rightarrow\infty, f(x)\rightarrow-\infty[/tex]
So, our answer is D.
And we're done!
