The function is .
Basic function is .
, shift the graph of
units up.
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 vertically shifted up
units.
The domain of the is all real numbers.
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:
.