Chapter 9.9, Problem 39STP

(a)

To determine

To calculate: To make the table of values.

Answer to Problem 39STP

Table of values is

$x$	$y$
0	2
1	4
2	10
3	28

Explanation of Solution

Given information: Function is $y=3^x+1$

Calculation:

Function is given as

  $y=3^x+1$

When $x=0$

  $\begin{array}{l}y=3^0+1\\ y=1+1\\ y=2\end{array}$

When $x=1$

  $\begin{array}{l}y=3^1+1\\ y=3+1\\ y=4\end{array}$

When $x=2$

  $\begin{array}{l}y=3^2+1\\ y=9+1\\ y=10\end{array}$

When $x=3$

  $\begin{array}{l}y=3^3+1\\ y=27+1\\ y=28\end{array}$

Thus, table is

$x$	$y$
0	2
1	4
2	10
3	28

Conclusion:

Hence, table of values is created

(b)

To determine

To calculate: To graph the ordered pair

Explanation of Solution

Given information: Function is $y=3^x+1$

Calculation:

Function is given as

  $y=3^x+1$

Table of values is as follows:

$x$	$y$
0	2
1	4
2	10
3	28

Plotting the points on graph:

  

Conclusion:

Hence, graph is sketched

(b)

To determine

To calculate: To find if the equation represents a linear, quadratic, cubic or exponential function

Answer to Problem 39STP

Equation represents an exponential function

Explanation of Solution

Given information: Function is $y=3^x+1$

Calculation:

Function is given as

  $y=3^x+1$

Since the equation is in the form of $y=a^x+b$

Thus, the equation is an exponential function

Conclusion:

Hence, equation represents an exponential function