The video tutorial covers exponential growth and decay models, providing examples of each. It explains how to graph these functions and solve application problems. The tutorial also demonstrates using a calculator to solve exponential equations, emphasizing the importance of understanding function properties to determine growth or decay.

What is the formula for exponential growth?

• y = c(1 - r)^t

• y = c(1 + r)^t

• y = c/r^t

• y = cr^t

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CCSS.HSF-LE.A.1A

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

• Final amount

• Rate of growth

• Time period

• Initial amount

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CCSS.HSF-IF.C.8B

How is the rate expressed in the exponential growth formula?

• As a whole number

• As a decimal

• As a fraction

• As a percentage

Tags

CCSS.HSF-IF.C.8B

What indicates exponential growth in a graph?

• A vertical asymptote

• A horizontal asymptote

• A value greater than one

• A value less than one

Tags

CCSS.HSF-IF.C.7E

What is the formula for exponential decay?

• y = cr^t

• y = c(1 - r)^t

• y = c/r^t

• y = c(1 + r)^t

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CCSS.HSF-IF.C.8B

What does depreciation mean in the context of exponential decay?

• Zero value

• Decrease in value

• Stable value

• Increase in value

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CCSS.HSF-IF.C.8B

In the context of exponential decay, what does a rate of 12% mean?

• The value increases by 12% each period

• The value decreases by 88% each period

• The value decreases to 12% of its original each period

• The value decreases by 12% each period

Tags

CCSS.HSF-IF.C.8B

How is the rate of change expressed in an exponential decay formula?

• As a whole number

• As a percentage

• As a fraction

• As a decimal

Tags

CCSS.HSF-IF.C.8B

What role does the horizontal asymptote play in the graph of an exponential function?

• It represents the growth rate

• It indicates the minimum value

• It represents the decay rate

• It indicates the maximum value

Tags

CCSS.HSF-IF.C.7E

How can you determine the time it takes for an account to reach a certain value using exponential growth?

• By solving the equation algebraically

• By using a calculator's graphing function

• By doubling the initial amount

• By estimating with a simple interest formula