The function is .
Since is cannot be negative, the minimum point of the graph is where
.
(Original function)
(Subtitute
in the function)
(Subtitute
)
(Add
to each side)
(Apply additive inverse property:
)
Construct a table of values for and
.
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Observe the table,
\The and
value are represents the domain and range of the function.
The domain of the function is .
The range of the function is .
Therefore, domain is all real numbers and range is all real numbers greater than .
Graph:
\Graph the function .
Observe the graph:
\The graph of is shifted the
units to the right.
Domain is all real numbers.
\Range is all real numbers greater than .