Respuesta :

Given

Graph of the quadratic function

Find

Domain and range of the function

Explanation

as we see from the graph , function is defined for all value of x ,

so , domain of the quadratic function is all real numbers.

hence ,

[tex]domain=(-\infty,\infty)[/tex]

and

as we have given vertex (4 , -1)

which means f(4) = -1 , as we see paraola opens upward so ,

range =

[tex]y\ge b(vertex)[/tex]

hence , range =

[tex]y\ge-1[/tex]

Final Answer

Hence , the domain is all real numbers and range

[tex]y\ge-1[/tex]

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