The function is
.
Basic function is
.
Square root function is defined only positive
-values.
, shift the graph of
units to the right.
Replace
by
.
Obtain the graph of
from basic function
, add
to each
-coordinate on graph of basic function.
Choose random values for
and find the corresponding values for
.
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Graph:
\Draw a coordinate plane.
\Plot the points of the basic function
and connect these points with smooth curve.
Plot the points of the
are
and connect these points with smooth curve.
Observe the graph:
\The graph of
is identical to
except that it is horizontally shifted
units to the right.
The domain of the
is
.
Domain of
in the interval notation:
.
Range of
is
.
Range of
in the interval notation:
.
Graph:
\Domain of
in the interval notation:
.
Range of
in the interval notation:
.