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

Tags

CCSS.HSF.LE.A.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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-LE.A.1A

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-LE.A.1A

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

• G

• F

• H

• J

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-LE.A.1A

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.

Tags

CCSS.HSF-LE.A.1A

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.

Tags

CCSS.HSF-LE.A.1A