Question

Plz help! what is the end of behavior of f(x)?

Answer 1

B

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:

As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.

Therefore, as
`x\rightarrow-\infty`, our function f(x) is increasing and increasing up towards positive infinity.

Therefore, the end behavior at the left will be:

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

As x approaches (positive) infinity:

As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.

Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) also approaches positive infinity.

Therefore, the end behavior at the right will be:

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

Therefore, our answer is B.