Complete Exponential Function Table

a

b

c

d

1

25

10

15

-5

-1

5

0

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CCSS.HSF-IF.C.8B

a

b

c

d

e

-1

-15

-125

-25

0

-10

-5

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CCSS.HSF.LE.A.2

Write the function for the following table:

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CCSS.HSF.LE.A.2

• A

• B

• C

• D

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CCSS.HSF.LE.A.2

Which exponential function models the situation given in the table?

• G

• F

• H

• J

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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.

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CCSS.HSF-LE.A.1A

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

• G

• F

• H

• J

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CCSS.HSF.LE.A.2

Mathematical Equivalence

ON

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CCSS.HSF.LE.A.2

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

(a)  

• G

• F

• H

• J

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CCSS.HSF.LE.A.2

If you were to deposit $5,000 at the Iron Bank, the following table would represent your account balance, t,  years after the deposit was made. Select the function that represents your account balance if you deposited $5,000 at the Iron Bank.  

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CCSS.HSF.LE.A.2