Exponential Decay Functions
This is what "b" is called in the parent exponential decay function.
What is the "decay factor" ?
This is what "r" represents in the compound interest formula below. (Be specific!)
A = P(1 + r/n)^(nt)
What is the interest rate, WRITTEN AS A DECIMAL! ?
In the function below, this number is the growth factor.
y = 4*3^x - 2
What is 3?
This is the square root of the square of the fourth positive prime number.
What is 7 ?
This is the parent exponential decay function and its allowed values for "b"
What is bx, where 0 < b < 1 ?
This is what "t" represents in the compound interest formula below. (Be specific!)
A = P(1 + r/n)^(nt)
What is the time that interest is accrued, in YEARS ?
In the function below, this number causes a vertical shrinking relative to the parent function.
y = (1/3)*3^x + 8
What is 1/3 ?
This is the 18th letter of the alphabet!
What is R ?
This describes the transformations of the function below compared to the parent function:
y = (-1/3) *(2/3)^x + 8
What is flipped across the x-axis, vertically shrunk (sat on), and up 8 ?
This is what the "P" represents in the compound interest formula below.
A = P(1 + r/n)^(nt)
What is the initial deposit (principle) ?
This function has a growth factor of 7 and is reflected across the x-axis, vertically stretched by a factor of 3, and shifted left 4 from the parent function.
What is
y = -3*7^(x + 4)
This is four more than three less than two times 18.
What is 37?
This describes the transformation(s) from the parent function of
y = 3*(1/3)^(x - 5) - 6
What is vertically stretched, right 5, and down 6 ?
The total amount you have if you deposit $5,000 in an account that accrues 8% interest, compounded monthly, for 25 years. (To the nearest cent!)
A = P(1 + r/n)^(nt)
What is $36,700.88 ?
This is the equation for the asymptote in the function below:
y = 3*4^(x - 10)-8
What is y = -8 ?
This is a polygon with 5 sides!
What is a Pentagon?
This is an exponential decay function with a growth factor of your choice that has an asymptote of y = 3 and is shifted left 2 and down 1 from the parent function.
What is (multiple correct answers) ?
The amount of interest you earn if you deposit $12,000 in an account earning 9 percent interest, compounded daily, for a total of 20 years. (To the nearest cent!)
A = P(1 + r/n)^(nt)
What is $60,579.66 ?
This is the range of the function below:
y = -2*3^(x + 6) + 6
What is y < 6 ?
This is the fourteenth positive integer.
What is 14?