The function is .
Since is cannot be negative, the minimum point of the graph is
.
(Original function)
(Subtitute
in the function)
(Subtitute
)
(Add
to each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Make a table of values for and
.
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Observe the table:
\The and
values 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 greater than or equal to .
Graph:
\Graph the function .
Observe the graph,
\The graph of is shifted the
units to the left.
Graph of the function is
Domain is all real numbers.
\Range is all greater than or equal to .