Exponential Growth and Graphing

Exponential Growth and Graphing

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

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The video tutorial explains the concept of exponential growth using the example of bacteria doubling each day. It introduces the exponential function f(x) = 2^x and compares it with linear functions. The tutorial demonstrates how to graph exponential functions and highlights the differences between linear and exponential growth. It also provides a mathematical representation of exponential growth and concludes with a summary of key points.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the expected number of bacteria on day 20 of the experiment?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the exponential function f of x equals 2 to the x power is used to represent bacterial growth.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the exponent in the exponential function indicate in terms of bacterial growth?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of how the number of bacteria doubles each day.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can we express the growth of bacteria mathematically using exponents?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the equation f of x equals 2 to the x power in a function table?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the characteristics of an exponential function compared to a linear function.

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