Writing Exponential Equations
Flashcard
•
Mathematics
•
KG - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an Exponential Function?
Back
A function where the variable is in the exponent, typically in the form f(x) = a(b)^x, where a is a constant and b is the base.
2.
FLASHCARD QUESTION
Front
What is Exponential Growth?
Back
A situation where a quantity increases by a consistent percentage over time, represented by an exponential function with a base greater than 1.
3.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
A situation where a quantity decreases by a consistent percentage over time, represented by an exponential function with a base between 0 and 1.
4.
FLASHCARD QUESTION
Front
What is a Linear Function?
Back
A function that creates a straight line when graphed, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is a Common Ratio?
Back
The factor by which a quantity is multiplied in each step of an exponential function, found by dividing any term by the previous term.
6.
FLASHCARD QUESTION
Front
Identify the common ratio in f(x)=2(4)^x.
Back
4, because each time x increases by 1, f(x) is multiplied by 4.
7.
FLASHCARD QUESTION
Front
If f(x) values are divided by 3, what is the common ratio?
Back
1/3, indicating that each term is multiplied by 1/3.
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