Exponential Functions Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of an exponential function?
Back
The domain of an exponential function is all real numbers, represented as D: All Real #'s.
2.
FLASHCARD QUESTION
Front
What is the range of an exponential function?
Back
The range of an exponential function is typically y > 0, meaning it only takes positive values.
3.
FLASHCARD QUESTION
Front
What does the graph of an exponential function look like?
Back
The graph of an exponential function increases rapidly and approaches the x-axis (y=0) but never touches it.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential functions?
Back
An asymptote is a line that the graph approaches but never touches. For exponential functions, the horizontal asymptote is often y = 0.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
How do you identify the y-intercept of an exponential function?
Back
The y-intercept of an exponential function f(x) = a(b^x) is found by evaluating f(0), which equals a.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the effect of changing the base of an exponential function?
Back
Changing the base affects the growth rate: a larger base results in a steeper increase.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and decay?
Back
Exponential growth occurs when the base is greater than 1, while exponential decay occurs when the base is between 0 and 1.
Tags
CCSS.HSF-IF.C.8B
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