Find the Constant Ratio in Exponential Functions

What is the pattern for this table?

• +5

• -5

• x2

• +2

The table of a Exponential Function has numbers that show:

• A constant pattern of adding and subtracting

• Symmetry

• A constant pattern of multiplying

• Dirty Diapers

The following graph shows the population growth for a species. What is the growth factor? Hint: What do you have to multiply by to get from one point to the next?

• 3

• 1/3

• 9

• 1/9

Given the function, f(x) = 6.5(0.85)^x, identify the constant ratio.

• 6.5

• 0.85

• x

• f(x)

What is the RATIO of this table?

B=_____

*How is the y changing?

• 1/2

• 2

• 10

• 4

What is the pattern you see in this table?

• Add 1

• Multiply by 3

• Add 8

• Divide by 3

If you are given the following tables, how would you fill in the missing values?

• Find the common difference for the linear table and use that to find the other y values and for the exponential table find the first difference and use that to find the other y values.

• Use the second difference to find the linear table values and the third difference to find the exponential table values.

• Find the first difference for the linear table and use that to find the other y values and for the exponential table find the common ratio and use that to find the other y values.

• Give up.

If a table's pattern is that the f(x) values are being divided by 3, what is the decay factor?

• 3

• -3

• 1/3

• -1/3

What is the common ratio for this exponential function?

f(x) = 6(3^x)

• 1

• 18

• 3

• 6

Tags

exponential

Give the value of the growth factor:
y = 35(1.075)^x

• 35

• 0.0075

• 7.5%

• 75%