What does the k do for linear and exponential functions?
What is it moves it up and down?
100
Is the following Sequence arithmetic, geometric, or neither:
6.3, 6.03, 6.003, 6.0003
What is neither?
100
A cell phone company charges customers a $10.00 initial fee & $0.10 per text. The function that gives the monthly bill is...
What is f(x) = 0.10x + 10.00?
100
Ct=Co(.87331)^t is the function for isotope decays of a function. Ct is the current amount, and Co is the starting amount. Is this linear or exponential?
What is exponential?
100
Does the secquence:15, 75, 375, 1875,
represent a growth or decay function?
What is growth?
200
What transformation does the 'a' do in exponential functions?
What is stretches / compresses / flips over the x-axis (when negative)
200
Is the following sequence arithmetic, geometric, or neither?
64, 32, 16, 8, ...
What is geometric?
200
A cell phone company charges customers a $10.00 initial fee & $0.10 per text. How much will the cost of the bill be if you sent 88 messages?
What is $18.80?
200
Ct=Co(.87331)^t is the function for isotope decays of a function. Ct is the current amount, and Co is the starting amount. If t is years, how much of 43g of Aluminum would be left in 45 decades?
What is 1.44 x 10^-25 grams?
200
What is the range of the function f(x)?
What is (0,infinity)?
300
If the f(x) = 3^x, how would you shift it left 6?
What is f(x) = 3^(x+6)?
300
Find the explicit formula for the following sequence:
64, 16, 4, 0.25, ...
What is an = 64(1/4)^n-1
300
Cell phone company Amy charges customers a $10.00 initial fee & $0.10 per text. Rival company Scott charges a $40 initial fee, but only $0.01 per text. Which company would be better to use if you sent for 143 text messages?
What is Company Amy?
300
Ct=Co(.87331)^t is the function for isotope decays of a function. Ct is the current amount, and Co is the starting amount. How much of 45 grams of Aluminum is left after 6 years?
What is 19.96 grams?
300
What is the domain of f(x)?
What is all real numbers?
400
The parent function f(x) = 3^x was transformed by f(x) = (-1)3^(x) - 5
What is it was flipped over the x-axis, and shifted down 5 units.
400
Find the explicit formula for the following sequence:
58, 71, 84, 97, ...
What is an = 58 + (n-1)(13)?
400
A cell phone company charges customers a $10.00 initial fee & $0.10 per text. The function that gives the monthly bill as a function of text sent is. Call this function a(x). How would this function change if we transformed it by a(x) + 6.
What is a(x) = 0.10x + 16.00?
400
Ct=Co(.87331)^t is the function for isotope decays of a function. Ct is the current amount, and Co is the starting amount. What happens if we change (increase or decrease) Co?
What is the y-intercept increases and decreases, stretch and compress.
400
What is the end behavior of the f(x)?
What is x -> infinity, f(x) -> infinity, x -> -infinity, f(x) ->0
500
State the transformations to the parent function f(x) = 3^x, when it's been shifted right 3, down 6, compressed by a third, and flipped over the x-axis.
What is f(x) = (-1/3)(3)^(x-3) - 6?
500
What is the 23rd term in the following sequence:
76, 54, 32, 10, ...
What is a23 = -408?
500
Compare the rates of exponential functions to those of linear functions. Use the two words I've given you.
What is linear functions have constant rates, and exponential functions have variable rates?
500
Ct=Co(.5)^t is the function for isotope decays of a function. Ct is the current amount, and Co is the starting amount. Will the isotope that is decaying ever reach 0?
What is no...there is an asymptote at 0. It will get as close to zero as possible, but it will never reach.