Exponential Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 f(x) = a * b^x, where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept of an exponential function is the value of the function when x = 0, which is equal to 'a' in the function f(x) = a * b^x.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when the value of a function increases at a rate proportional to its current value, typically represented by a base greater than 1 in the function f(x) = a * b^x.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when the value of a function decreases at a rate proportional to its current value, typically represented by a base between 0 and 1 in the function f(x) = a * b^x.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of an exponential function?
Back
The horizontal asymptote of all exponential functions is the x-axis, or y = 0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How can you identify exponential growth from a function?
Back
If the base 'b' in the function f(x) = a * b^x is greater than 1, the function represents exponential growth.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
How can you identify exponential decay from a function?
Back
If the base 'b' in the function f(x) = a * b^x is between 0 and 1, the function represents exponential decay.
Tags
CCSS.HSF-IF.C.8B
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