Exponential Functions Test
Flashcard
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Mathematics
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University
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Practice Problem
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Hard
+4
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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 y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It represents growth or decay processes.
2.
FLASHCARD QUESTION
Front
What does the 'a' represent in the exponential function y = a(b^x)?
Back
The 'a' represents the y-intercept or initial value of the function.
Tags
CCSS.HSF.LE.B.5
3.
FLASHCARD QUESTION
Front
How do you calculate the future value of an investment using exponential growth?
Back
Future Value = Present Value * (1 + growth rate)^number of periods.
4.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
Exponential decay can be modeled by the formula y = a(1 - r)^t, where 'r' is the decay rate and 't' is time.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
If a population grows by 25% each month, what is the growth factor?
Back
The growth factor is 1 + 0.25 = 1.25.
Tags
CCSS.HSF-LE.A.1C
6.
FLASHCARD QUESTION
Front
How do you find the value of an asset after depreciation?
Back
Value = Initial Value * (1 - depreciation rate)^number of years.
7.
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
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