Exponent Rules
x^a * x^b = ?
x^(a+b)
Down
What is the function for exponential decay?
f(x) = a(1-r)^x
What is the formula for Geometric Sequences?
a_n = a_1(r)^(n-1)
What breed is my dog?
Border Collie
(4x^3y^-3)/(2x^3y^-3
2
Describe the transformation of the following function
f(x) = - 2^(x+3) + 2
Reflection, Left 3, Up 2
Will the following experience exponential growth or decay?
f(x) = 1/3*(99/100)^x
Exponential Decay
What is the geometric ratio (multiplier) for the following sequence:
{1/2, 1/3, 2/9, 4/27}
r = 2/3
What's my dog's name?
Chul-soo or Chelsea
(16x^10y^3)/(48x^9y^3)
x/3
f(x) = - 2^(x+3) + 2
What is the domain of the function?
(-infty, infty)
Write an exponential function for a population of 5000 that increases by 6% every year.
f(x) = 5000*(1.06)^x
Find the first term when
r = 2
and
a_3 = 8
a_1 = 2
How old is my dog?
2.5 Years Old
(x^5y^2z^1)^-1*(x^5y^2z^1)^2
x^5y^2z^1
What is the y intercept of this function?
f(x) = 2*3^x - 4
(0, 2)
Suppose you have 9001 dollars in the bank. Each year, it decreases by 0.9%. Write an exponential function that describes this scenario.
f(x) = 9001*(.991)^x
What is the geometric ratio (multiplier) for the following sequence: {.25, .075, 0.0225, 0.00675, ...}
r = .3
Which branch of the military would Mr. Kim most likely have joined if he was too dumb for college?
The Marines
!!!!!Double Points!!!!!
(9^(1/2)*x)/x^(1/2)
3x1/2
What is the asymptote of the function?
f(x) = 2*3^(x+6) - 4
y = -4
*300 Bonus Points*
Suppose you have an investment of $1000 and it grows by 100% every year. What is its value after 10 years.
$1024000
If the 10th term is 1,000,000,000 and the ratio is 10, find the first term.
a_1 = 1
How much money does Mr. Kim get paid every day as a long-term substitute?