Exponential Function Flashcard
Flashcard
•
Mathematics
•
6th - 12th Grade
•
Practice Problem
•
Hard
+5
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 function to have a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you write an exponential decay function?
Back
An exponential decay function can be written as f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What is the formula for compound interest?
Back
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.
5.
FLASHCARD QUESTION
Front
What is the value of the horizontal asymptote for the function y = a(b)^x when 0 < b < 1?
Back
The horizontal asymptote is y = 0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
If a bacteria culture starts with 5000 cells and dies by 30% each year, what is the decay factor?
Back
The decay factor is 0.7.
Tags
CCSS.HSF-LE.A.1C
7.
FLASHCARD QUESTION
Front
What is the average rate of change of a function?
Back
The average rate of change of a function between two points is calculated as (f(b) - f(a)) / (b - a), where a and b are the x-values of the two points.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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