Question

What is the end behavior of f(x) ? plz help!

Answer 1

D

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:

`\text{As } x\rightarrow -\infty, f(x)\rightarrow\infty`

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:

`\text{As } x\rightarrow\infty, f(x)\rightarrow-\infty`

So, our answer is D.

And we're done!