Identifying Exponential Growth and Decay Functions

The video tutorial covers exponential growth and decay functions, explaining their characteristics and providing real-world examples. It discusses how exponential growth involves data increasing by a constant factor over time, with examples like pandemics and compound interest. Exponential decay, on the other hand, involves data decreasing by a constant factor, illustrated by examples such as car depreciation and radioactive decay. The tutorial also guides viewers on identifying these functions through equations and tables, emphasizing the importance of understanding the base of the power in equations. The video concludes with a call to action for viewers to subscribe for more content.

What pattern does exponential growth follow?

• Decreases over time

• Increases by a constant amount

• Increases by a constant factor over time

• Remains constant

Which of the following is an example of exponential growth?

• Decay of radioactive material

• Cooling of coffee

• Population growth

• Depreciation of a car's value

How is the formula for exponential growth written?

• Initial amount + (rate of growth * time)

• Initial amount / (1 + rate of growth)^time

• Initial amount * (1 + rate of growth)^time

• Initial amount * (1 - rate of growth)^time

What does the 'r' represent in the exponential growth formula?

• Final amount

• Initial amount

• Rate of growth

• Rate of decay

What is an example of exponential decay?

• Population growth

• Spread of a virus

• Depreciation of electronics

• Savings account interest

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

• The base of the power is less than one

• The base of the power is greater than one

• The exponent is negative

• The rate of growth is zero

What characteristic does an exponential decay function have in a table of values?

• Y values decrease by a constant factor

• Y values increase by a constant factor

• X values decrease by a constant factor

• X values increase by a constant amount

What does the 'a' represent in the exponential function formulas?

• Rate of change

• Final amount

• Initial amount

• Time period

Which function will never equal zero according to the lesson?

• Quadratic function

• Exponential decay function

• Exponential growth function

• Linear function

How is the rate of change expressed in the exponential growth formula?

• As a whole number

• As a fraction

• As a percentage

• As a decimal