Exponential Functions Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean for a quantity to decay exponentially?
Back
Exponential decay occurs when a quantity decreases at a rate proportional to its current value, often represented by the formula f(t) = f(0) * e^(-kt), where k is a positive constant.
Tags
CCSS.HSF-LE.A.1A
3.
FLASHCARD QUESTION
Front
How do you calculate the future value of an investment with compound interest?
Back
The future value (FV) can be calculated using the formula FV = P(1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
4.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is f(t) = f(0) * e^(kt), where f(0) is the initial amount, k is a positive constant, and t is time.
Tags
CCSS.HSF-LE.A.1A
5.
FLASHCARD QUESTION
Front
If a car depreciates by 10% each year, how do you express its value after 't' years?
Back
The value of the car after 't' years can be expressed as V(t) = V(0) * (1 - 0.10)^t, where V(0) is the initial value.
6.
FLASHCARD QUESTION
Front
What is the value of a car worth $20,000 after 3 years of 10% depreciation?
Back
After 3 years, the value of the car is approximately $14,580.
7.
FLASHCARD QUESTION
Front
How do you calculate the remaining amount of a radioactive substance after a certain time?
Back
The remaining amount can be calculated using the formula A(t) = A(0) * (1 - r)^t, where A(0) is the initial amount, r is the decay rate, and t is time.
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