\"\"

\

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.