Exponential Functions

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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 a positive real number, and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What distinguishes exponential growth from exponential decay?
Back
Exponential growth occurs when the base 'b' in the function y = a(b^x) is greater than 1, while exponential decay occurs when 'b' is between 0 and 1.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept of an exponential function y = a(b^x) is the point where x = 0, which is (0, a).
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
How do you identify if a function is linear or exponential?
Back
A function is linear if it can be expressed in the form y = mx + b, where m and b are constants. An exponential function has a variable in the exponent.
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth equation?
Back
The general form of an exponential growth equation is y = a(b^x) where b > 1.
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay equation?
Back
The general form of an exponential decay equation is y = a(b^x) where 0 < b < 1.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
Given the function y = 3(2^x), is it exponential growth or decay?
Back
Exponential growth, because the base 2 is greater than 1.
Tags
CCSS.HSF-IF.C.8B
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