Exponential Functions

Match each of the graphs to their corresponding equation.

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Tags

AI.9.9.D

• growth
• greater than
• less than
• decay

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AI.9.9.B

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

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AI.9.9.C

Dallas recorded a population of 1,300,000 people in 2020. The population has been increasing at a rate of 0.80% annually since then. Which exponential function represents the relationship between x, the number of years since 2020 and y, the total population of Dallas?

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AI.9.9.C

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08
• ^1.08
• .92
• 8

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

What is the equation of the horizontal asymptote of the given function?

• y = 2
• x = 1
• There isn't one
• y = 5

What is the horizontal asymptote of the graph below?