Respuesta :

Answer:

Domain: [tex]All \ real\ numbers[/tex]

Range: [tex]y\geq -5[/tex]

Function: [tex]|x|-5=y[/tex]

Step-by-step explanation:

The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.

The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.

The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.

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