Exponential Growth Or Decay
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Exponential Growth?
Back
Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. Example: Population growth.
Tags
CCSS.HSF-LE.A.1A
2.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. Example: Radioactive decay.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you write the square root of x⁵ in exponential form?
Back
x^(5/2)
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
f(x) = a(b^x), where 'a' is the initial value and 'b' is the growth/decay factor.
Tags
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What does the 'a' represent in the function f(x) = a(b^x)?
Back
The 'a' represents the starting value or initial amount of the function.
Tags
CCSS.HSF.LE.B.5
6.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept is the value of the function when x = 0, which is equal to 'a' in the function f(x) = a(b^x).
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
Classify the model A=1200(0.85)^6 as Growth or Decay.
Back
Decay, because the base (0.85) is less than 1.
Tags
CCSS.HSF-IF.C.8B
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