Question

Use the graph of the rational function to complete the following statement.

Answer 1

Answer:

Hence,

f(x) → ∞ when x → -∞

Step-by-step explanation:

We are asked to find the behavior or limit of the function to the left of x=3.

i.e. we are asked to find:

f(x) → ?    ; when x→ 3-

Hence, from the graph of the function we could clearly see that the function f(x) is not continuous at x=3.

since on the left of 3 the function is tending to ∞ and to the right of x=3 the function is tending to -∞.

This means that the graph is not defined in the neighbourhood of 3.

Hence,

f(x) → ∞ when x → -∞

Answer 2

We want to study the given graph to complete the given statement.

The answer is:

$x \implies 3^{-}, f(x) \implies \infty$

Let's see how to complete this.

The statement says:

$x \implies 3^{-}, f(x) \implies$

This can be read as:

"As x tends to 3 from the left (this comes from the negative sign above the number) the value of f(x) tends to...."

So we need to see at which value the function f(x) tends when it approaches the value x = 3 from the left.

We can see that from the left, the function goes upwards, so it tends to infinite.

Then the complete statement would be:

$x \implies 3^{-}, f(x) \implies \infty$

If you want to learn more, you can read:

https://brainly.com/question/17095526