IDENTIFY EXPONENTIAL BEHAVIOR WORKSHEET

Identify exponential behavior worksheet :

Here we are going to see some practice questions on identify exponential behavior.

One method is to observe the shape of the graph. But the graph of an exponential function may resemble part of the graph of a quadratic function.

Another way is to use the problem-solving strategy look for a pattern with the data.

Identify exponential behavior worksheet - Practice questions

(1)  Determine whether each set of data displays exponential behavior.

(2)  Determine whether each set of data displays exponential behavior.

(3)  Determine whether each set of data displays exponential behavior.

(4)  Determine whether each set of data displays exponential behavior.

(5)  Determine whether each set of data displays exponential behavior.

(6)  Determine whether each set of data displays exponential behavior.

Identify exponential behavior worksheet - Solution

Question 1 :

Determine whether each set of data 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. The equation for the data may involve (1/2)x

Exponential equation of the given data is (1/2)x

Question 2 :

Determine whether each set of data 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.

Question 3 :

Determine whether each set of data 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. The equation for the data may involve 6x

Exponential equation of the given data is 6x

Question 4 :

Determine whether each set of data 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.

Question 5 :

Determine whether each set of data 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.

Question 6 :

Determine whether each set of data 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. The equation for the data may involve 1/2x

Exponential equation of the given data is 1/2x

After having gone through the stuff given above, we hope that the students would have understood, "Identify exponential behavior worksheet".

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