Exponential Equations from Tables

How do you identify exponential decay from a table?

• Increasing values that change by constant addition.

• Decreasing values that change by constant multiplication.

• Decreasing values that change by constant subtraction.

• Increasing values that change by constant multiplication.

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CCSS.HSF-LE.A.1A

Which of the following tables matches this exponential graph?

• 
• 
• 
• 

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CCSS.HSF.LE.A.2

Which equation matches this table of values?

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CCSS.HSF.LE.A.2

Which equation matches this graph?

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CCSS.HSF.LE.A.2

Write the equation that represents the table below:

• y=½(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(½)^x

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given table.

• y = 2(1/3)^x

• y = -2(1/3)^x

• y = 1/3(2)^x

• y = 2(-1/3)^x

Tags

CCSS.HSF.LE.A.2

Write the exponential equation that models this situation. Hint: Change decimal to fraction (Math enter enter)

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

Write the exponential equation that models this situation. Hint: Change decimal to fraction (Math enter enter)

Mathematical Equivalence

ON

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

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