a.
\The functions are and
.
Graph :
\1. Draw a coordinate plane.
\2. Plot the coordinate point.
\3. Then sketch the graph, connecting the point with a smooth curve.
\b.
\Find the average rate of change of functions .
Average rate of change of function over the interval is
.
Average rate of change of function over the interval
.
Average rate of change of function is
.
\
Average rate of change of function over the interval
.
Average rate of change of function is
.
c.
\Observe the graph, when the value of x increase then the growth rate for an exponential function is greater than the growth rate of a power function.
\d.
\The functions are and
.
Graph :
\1. Draw a coordinate plane.
\2. Plot the coordinate point.
\3. Then sketch the graph, connecting the point with a smooth curve.
\e.
\Find the average rate of change of functions .
Average rate of change of function over the interval is
.
Average rate of change of function over the interval
.
Average rate of change of function is
.
\
Average rate of change of function over the interval
.
Average rate of change of function is
.
f.
\Observe the graph, when the value of x increase then the growth rate for a root function is greater than the growth rate of the natural log function.
\a.
\Graph of the functions and
is
b.
\Average rate of change of function is
.
Average rate of change of function is
.
c.
\Observe the graph, when the value of x increase then the growth rate for an exponential function is greater than the growth rate of a power function.
\d.
\Graph of the functions and
.
e.
\Average rate of change of function is
.
Average rate of change of function is
.
f.
\Observe the graph, when the value of x increase then the growth rate for a root function is greater than the growth rate of the natural log function.