The video tutorial explains exponential functions, focusing on identifying growth and decay factors. It demonstrates how to determine these factors by examining the constant multiplier between consecutive values of X and Y. The tutorial uses examples to show how to calculate the decay factor by dividing smaller Y values by larger ones, resulting in a factor of 0.5. Similarly, it explains the growth factor by dividing larger Y values by smaller ones, resulting in a factor of 2.5. The video emphasizes the importance of these factors in understanding exponential relationships.

What is the main focus when studying exponential functions?

• Determining the linear coefficient

• Finding the constant addition factor

• Calculating the sum of terms

• Identifying the growth or decay factor

How do you determine the decay factor in an exponential function?

• By multiplying consecutive terms

• By dividing consecutive terms

• By subtracting the terms

• By adding the terms

If 128 is reduced to 64, what is the decay factor?

• 2

• 1.5

• 0.5

• 0.25

What indicates a decay factor in an exponential function?

• The numbers are increasing

• The numbers are constant

• The numbers are decreasing

• The numbers are alternating

What is the decay factor if 32 is reduced to 16?

• 1.5

• 0.25

• 0.5

• 2

Which of the following is a characteristic of exponential decay?

• The factor is greater than 1

• The factor is equal to 1

• The factor is less than 1

• The factor is negative

What is the decay factor if 64 is reduced to 32?

• 0.5

• 1.5

• 2

• 0.25

What characterizes a growth factor in an exponential function?

• The numbers are alternating

• The numbers are increasing

• The numbers are constant

• The numbers are decreasing

How do you find the growth factor in an exponential function?

• By subtracting the terms

• By dividing consecutive terms

• By adding the terms

• By multiplying consecutive terms

If 1.6 grows to 4, what is the growth factor?

• 1.5

• 2

• 3

• 2.5