Completing Exponential Function Tables

Write the function for the following table:

• f(x)= 1(2)^x

• f(x)= 2(1)^x

• f(x) = 2x+1

• f(x)= x+2

Write the function for the following table:

• f(x) = 1(3)^x

• f(x) = 3(3)^x

• f(x) = 3x+3

• f(x)= 6x+1

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Top to bottom, what happens to the y-values?​ (a)   The table represents exponential ​ (b)   The decay factor (b-value) is (c)   ​

• They are multiplied by 1/3

• They are multiplied by 3

• 1/3

• decay

• 3

• growth

Answer explanation

The function f(x)=27(\frac{1}{3})^x represents exponential decay, which fits the table's values decreasing as x increases. The other options either represent linear functions or exponential growth, making them incorrect.

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Left to right, what happens to the y-values?​ (a)   The table represents exponential​​ ​ (b)   The growth factor (b-value) is​ (c)  

• They are multiplied by 5

• They are divided by 5

• growth

• decay

• 5

• 1/5

Answer explanation

The function f(x)=2(5)^x represents exponential growth, matching the table's pattern. The other options either represent linear functions or different exponential forms that do not fit the data.

What can we use to write an exponential function from a table?

• G

• F

• H

• J

Left to right, what happens to the y-values?​ (a)   The table represents exponential​​ ​ (b)   The growth factor (b-value) is​ (c)  

• They are multiplied by 5

• They are divided by 5

• growth

• decay

• 5

• 1/5

Answer explanation

The function f(x)=2(5)^x represents exponential growth, matching the table's pattern. The other options either represent linear functions or different exponential forms that do not fit the data.

Left to right, what happens to the y-values?​ (a)   The table represents exponential ​ (b)   The decay factor (b-value) is (c)   ​

• They are multiplied by 1/3

• They are multiplied by 3

• 1/3

• decay

• 3

• growth

Answer explanation

The function f(x)=27(\frac{1}{3})^x represents exponential decay, which fits the table's values decreasing as x increases. The other options either represent linear functions or exponential growth, making them incorrect.

Left to right, what happens to the y-values?​ (a)  

The table represents exponential ​ (b)  

The decay factor (b-value) is (c)   ​

• They are multiplied by 1/3

• They are multiplied by 3

• 1/3

• decay

• 3

• growth

Answer explanation

The function f(x)=27(\frac{1}{3})^x represents exponential decay, which fits the table's values decreasing as x increases. The other options either represent linear functions or exponential growth, making them incorrect.