Identifying Exponential Growth & Decay Functions

The video tutorial covers exponential growth and decay functions, explaining their characteristics and providing real-world examples. It discusses how to identify these functions in equations and tables, emphasizing the importance of understanding the base of the power. The tutorial also includes exercises for students to practice identifying exponential growth and decay, with explanations of the solutions.

What is a key characteristic of exponential growth?

• It decreases by a constant factor over time.

• It increases by a constant factor over time.

• It remains constant over time.

• It fluctuates randomly over time.

Which of the following is an example of exponential growth?

• The constant speed of a car.

• The disintegration of radioactive material.

• The depreciation of a car's value.

• The growth of mold on food.

How is the rate of growth represented in an exponential growth function?

• As a fraction subtracted from 1.

• As a percentage added to 1.

• As a constant value.

• As a variable that changes over time.

What happens to the value of a car as an example of exponential decay?

• It decreases at a constant rate.

• It increases at a constant rate.

• It remains the same over time.

• It decreases rapidly by a constant factor.

Which of the following is NOT an example of exponential decay?

• The depreciation of electronics.

• The growth of a population.

• The half-life of a radioactive substance.

• The decrease in pesticide concentration.

How can you identify an exponential growth function from an equation?

• The base of the power is greater than 1.

• The base of the power is equal to 1.

• The base of the power is less than 1.

• The base of the power is a negative number.

In a table of values, how can you identify exponential decay?

• X increases by 1, and Y decreases by a constant factor.

• X decreases by 1, and Y increases by a constant factor.

• X increases by 1, and Y increases by a constant factor.

• X decreases by 1, and Y decreases by a constant factor.

What is the rate of change if the base of the power is 0.98 in an exponential decay function?

• 20%

• 2%

• 98%

• 0.2%

If a function's base is 1.2, what type of function is it?

• Linear function

• Exponential decay

• Quadratic function

• Exponential growth

What is the rate of change if the base of the power is 1.07 in an exponential growth function?

• 0.07%

• 70%

• 7%

• 0.7%