Exponential Growth/Decay
A culture of bacteria starts with 100 cells and doubles every hour. This is the total population after 3 hours.
800
The domain of the standard exponential function f(x) = 2x
(-∞,∞)
In the sequence 3, 6, 12, 24,... what constant value is multiplied by each term to get the next term.
2
In a geometric sequence, this term refers to the fixed non-zero multiplier used to find each successive term from the previous one.
What is the common ratio?
What US State produces the most potatoes every year?
Idaho
A car bought for $20,000 loses 10% of its value each year. This is how much the car is worth after 2 years.
$16,200
The range of the basic exponential function f(x) = 3x
y > 0, or (0, ∞)
The missing fourth term in the geometric sequence 5, 15, 45, ___, 405.
135
The set of all possible input values (x-values) for which a function is defined—which for all basic exponential functions is all real numbers.
What is the domain?
What sea creature has three hearts, blue blood, and no bones, allowing it to squeeze through tiny crevices?
Octopus
An online creator starts with 1,000 followers, and their audience grows by 20% each month. This is the total number of followers they will have after 3 months.
1,728
The range of the exponential function f(x) = 5x + 4.
y > 4 or (4, ∞)
The 6th term of a geometric sequence starting with 2 and having a common ratio of 3.
486
The horizontal line that a function's graph approaches closer and closer to but never touches, which sets the lower or upper boundary of an exponential function's range.
What is the horizontal asymptote?
Who is currently the #1 ranked team in College Football?
University of Texas
An investment of $1,000 earns 5% interest compounded annually. This is the total account balance after 3 years.
$1,157.63
What is the domain of the following set of numbers: (1,2), (3,5), (7, 8) , (12, 14), (21, 37)
[1,3,7,12,21] or (1,21)
The 8th term of a geometric sequence where the first term is 5 and the common ratio is 2.
640
The set of all possible output values (y-values) resulting from evaluating a function across its valid inputs.
What is the range?
In 1932, the military of which nation was deployed with machine guns to combat a growing population of rogue flightless birds, only to lose the "war" when the birds proved too agile?
Australia (The Great Emu War)
A viral video starts with 500 views and grows by 50% each day. This is the number of views the video has on Day 4.
2,531
The domain of the transformed exponential function f(x) = 4x-7 - 12.
(-∞,∞)
The 7th term of a geometric sequence with a first term of 3 and a common ratio of -2.
192
The financial concept where earned interest is added back to the principal, causing future interest to be calculated on both the initial money and the accumulated interest.
What is compound interest?
Who is Mr Hughes' favorite rapper?
SZA