IDENTIFY EXPONENTIAL BEHAVIOR WORKSHEET

Problem 1 :

Determine whether the graph shown below displays exponential behavior.

Problem 2 :

Determine whether the graph shown below displays exponential behavior.

Problem 3 :

Determine whether the data set shown below displays exponential behavior.

Problem 4 :

Determine whether the data set shown below displays exponential behavior.

Problem 5 :

Determine whether the data set shown below displays exponential behavior.

Problem 6 :

Determine whether the data set shown below displays exponential behavior.

Problem 7 :

Determine whether the data set shown below displays exponential behavior.

Problem 8 :

Determine whether the data set shown below displays exponential behavior.

Problem 1 :

Determine whether the graph shown below displays exponential behavior.

Solution : 

The graph shows rapidly increasing values of y as x increases. This is characteristic of exponential behavior.

Problem 2 :

Determine whether the graph shown below displays exponential behavior.

Solution : 

The graph shows rapidly decreasing values of y as x increases. This is characteristic of exponential behavior.

Problem 3 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 10. Let’s see if there is a common factor among the range values

Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. 

Exponential function for the above data is

f(x)  =  (1/2)^x

Problem 4 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 10. The range values have a common difference 6.

The data do not display exponential behavior, but rather linear behavior.

Problem 5 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 1. Let’s see if there is a common factor among the range values

Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. 

Exponential function for the above data is

f(x)  =  6^x

Problem 6 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 2. The range values have a common difference 4.

The data do not display exponential behavior, but rather linear behavior.

Problem 7 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 1. The range values have a common difference 3.

The data do not display exponential behavior, but rather linear behavior.

Problem 8 :

Determine whether the data set shown below displays exponential behavior.

Solution :

The domain values are at regular intervals of 1. Let’s see if there is a common factor among the range values

Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. 

Exponential function for the above data is

f(x)  =  1/2^x

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.