Writing and Graphing Exponential Functions in Real Life Scenarios

This video tutorial explains how to write and graph exponential functions by examining real-life scenarios. It covers the basics of exponential functions, including the parent function, initial amount, and common ratio. Two examples are provided: modeling bacteria population growth and modeling the decay of a bouncing baseball. The video demonstrates how to create equations, tables, and graphs to represent these exponential relationships.

What is the correct form of an exponential function?

• F(x) = b * a^x

• F(x) = x * a^b

• F(x) = a * b^x

• F(x) = a * x^b

In the bacteria population example, what is the initial amount of bacteria?

• 150 bacteria

• 200 bacteria

• 50 bacteria

• 100 bacteria

What is the common ratio in the bacteria population example?

• 2

• 3

• 0.5

• 1

How does the population change every hour in the bacteria example?

• It halves

• It triples

• It remains constant

• It doubles

What is the initial height of the baseball in the bouncing example?

• 100 inches

• 75 inches

• 52 inches

• 25 inches

What percentage of its height does the baseball retain after each bounce?

• 25%

• 75%

• 50%

• 100%

What type of exponential function is demonstrated by the bouncing baseball example?

• Exponential decay

• Linear growth

• Linear decay

• Exponential growth