What is an exponential function?
NCM1 Exponential Functions Review

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 initial value in an exponential function represent?
Back
The initial value in an exponential function is the value of 'y' when 'x' is 0. It indicates the starting amount before any growth or decay occurs.
3.
FLASHCARD QUESTION
Front
Identify the initial value in the function y = 6.87(4)^x.
Back
The initial value is 6.87.
4.
FLASHCARD QUESTION
Front
How do you represent a decay process in an exponential function?
Back
A decay process is represented by a base between 0 and 1 in the function y = a(b^x). For example, y = 5000(0.7)^x represents a decay of 30%.
5.
FLASHCARD QUESTION
Front
What is the equation for a culture of bacteria that starts with 5000 cells and dies by 30% each year?
Back
The equation is y = 5000(0.7)^x.
6.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when the base 'b' is greater than 1, leading to an increase over time. Exponential decay occurs when the base 'b' is between 0 and 1, leading to a decrease over time.
7.
FLASHCARD QUESTION
Front
Identify the type of growth represented by the function f(x) = 0.25(1.3)^x.
Back
This function represents exponential growth.
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