Respuesta :

What's the smallest y can get? That would be y = -6; however, it does not actually get to -6. Instead it approaches to get closer and closer. This is due to the horizontal asymptote at y = -6.

What's the largest y can get? There is no upper bound. The y values grow forever because of the arrow indicating as such.

Therefore, the range is [tex]-6 < y < \infty[/tex] which written in interval notation would be [tex](-6, \infty)[/tex]

The range of the function shown on the graph is -6 ≤ f(x) ≤ ∞.

What is the range of a function?

The range of a function is a bounded set within which the value of the function lies.

Let, the function is [tex]y = f(x)[/tex].

Here, the function f(x) starts from the value of (- 6) and started increasing continuously.

Therefore, the lowest value of the function f(x) is (- 6).

Similarly, the highest value of the function is f(x) (∞).

The required range is: -6 ≤ f(x) ≤ ∞.

Learn more about the range of a function here: https://brainly.com/question/16834159

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