SMI ES Q3 Exponentials (Pre)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
f(x) = a(1 + r)^x, where 'a' is the initial amount and 'r' is the growth rate.
Tags
CCSS.HSF-IF.C.8B
2.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does the initial value represent in an exponential function?
Back
The initial value is the starting amount before any growth or decay occurs.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
How do you identify the growth rate in an exponential function?
Back
The growth rate is found in the expression (1 + r) in the function f(x) = a(1 + r)^x.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and linear growth?
Back
Exponential growth increases at a rate proportional to its current value, while linear growth increases by a constant amount.
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
6.
FLASHCARD QUESTION
Front
What is the significance of the base in an exponential function?
Back
The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
If a function is represented as f(x) = 3(2)^x, what is the initial value?
Back
The initial value is 3.
Tags
CCSS.HSF.LE.B.5
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