Characteristics
Context
Growth vs. Decay
Parameters
Alternate Questions
100
Identify the domain of the exponential function f(x) = 2^x
What is (-inf, inf) inf: infinity
100
Write the function to model the situation: During the zombie apocalypse, we started with 3 zombies, each day each zombie created 4 new zombies. How many zombies are there after a week?
What is 3*4^x?
100
Identify the function as growth or decay: f(x) = 2^x ^: exponent
What is growth?
100
Identify an appropriate domain for the situation: Rebecca has an 12 oz. jar of honey. Each day she eats a third of the remaining honey. How long will it take her to empty the container of honey?
What is Days from (0, 5)?
100
Which function is increasing faster: f(x) = 2^x or g(x)= 4^x
What is g(x)?
200
Identify the range of the exponential function f(x) = 2^x
What is (0, inf)? inf: infinity
200
Find the solution to the situation: During the zombie apocalypse, we started with 3 zombies, each day each zombie created 4 new zombies. How many zombies are there after a week?
What is 49152 zombies?
200
Identify the equation as growth or decay: g(x)=(1/2)^x ^: exponent
What is decay
200
Identify an appropriate range for the situation: Rebecca has an 12 oz. jar of honey. Each day she eats a third of the remaining honey. How long will it take her to empty the container of honey?
What is honey (0,12]?
200
Which function has a larger y-intercept: f(x)= 2x+4 or g(x)= 4x+2
What is f(x)?
300
Identify the y-intercept of the function f(x)=4*3^x.
What is (0,4)?
300
Write a function to model the situation: There are 24,000 bacteria in a sample of expired juice when it is exposed to a strong UV light. During each second of exposure, 32% of the remaining bacteria are killed. How many bacteria remain after an hour?
What is f(x) = 24000(1-.32)^x
300
Does this situation model growth or decay? During the zombie apocalypse, we started with 3 zombies, each day each zombie created 4 new zombies. How many zombies are there after a week?
What is growth?
300
What is the appropriate domain for the number of days it takes 4 zombies who create 5 new zombies a day to destroy a human population of 250,000 people?
What is (0,7)?
300
Which function is increasing faster? f(x) = 3^x -1 or g(x)= 4^x -1
What is g(x)?
400
Identify the range: the function f(x) = 4*3^x +2
What is (2, inf) inf: infinity
400
Find a solution to the situation: There are 24,000 bacteria in a sample of expired juice when it is exposed to a strong UV light. During each second of exposure, 32% of the remaining bacteria are killed. How many bacteria remain after a minute?
What is 0.000002142
400
Does this situation model growth or decay: There are 24,000 bacteria in a sample of expired juice when it is exposed to a strong UV light. During each second of exposure, 32% of the remaining bacteria are killed. How many bacteria remain after an hour?
What is decay?
400
Find the solution to the situation: There are 425,000 working AM/FM radios in 1950, if 25% of the radios stop working each year. When does the number of radios reach less than 250?
What is 26 years?
400
Which would you choose: Option 1: A savings account with a 4% increase on $1000, after 8 years. Option 2: A savings account with a 7% increase on $550, after 8 years.
What is option 1?
500
What is the asymptote of the function : f(x) = 3*5^x
What is x-axis or y=0.
500
Write a function to model the situation and find the solution: In 1995, there are 13,425,324 portable CD players in the United States. Each year the number of portable CD players decreases by 24%. How many CD players are left after 2 decades?
What is 13425324(1-.24)^x and 55487?
500
Create a growth function and a decay function.
What is answers will vary: growth should have a base greater than 1 and decay should have a base between 0 and 1.
500
What happens when x becomes extremely large to the function: f(x) = 0.5^x?
What is becomes extremely small?
500
Which does not match the others (equation, table, situation): Situation: Butts County starts with 8 zombies. The zombie population is on the rise and is tripling each day of the week. EQ: f(x)= 3*8^x Table25 x 0 1 2 3 4 y 8 24 72 216 648
What is the equation?
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