Respuesta :

Given the function:

[tex]y=x^2-2x-8[/tex]

Let's determine the range of the function using the graph.

The range of a function is the set of all possible y-values which define the function.

From the graph shown, the value of y starts from the vertex at y = -9 and goes upward.

Therefore, the range of the function is all values of y greater than or equal to -9.

{y|y ≥ - 9}

Hence, in interval notation is:

[tex][-9,\infty)[/tex]

ANSWER:

[tex][-9,\infty)[/tex]