Exponential Functions Notation Growth Decay

Which equation is representative of the graph?

• y=4(1/2)^x

• y=1/2(4)^x

• y=4(2)^x

• y=8(1/2)^x

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Determine whether the following graph represents exponential growth or decay. Explain your answer.

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Graph the following scenario: You spot a group of 14,000 bacteria in a microscope, but spray it with antibacterial spray. After that the bacteria population decreases by half every minute. (The y-axis is going by thousands. Ex: 1=1000)

Fill in the remaining values of the following table: f\left(x\right) = 4\left(2\right)^x Write answers as f(#) = #. Ex: f(0) = 4

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Create an equation using function notation that represents the table.

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Which of the following represents exponential decay?

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• 
• 
• 

Which equation matches the following scenario: You upload a funny video to TikTok, 8 people know about it. After each day the views double.