Identifying Characteristics Exponential Graphs

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•
Mathematics
•
8th - 9th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential graphs?
Back
An asymptote is a line that a graph approaches but never touches. For exponential functions, the horizontal asymptote is typically y=0.
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when a quantity increases at a rate proportional to its current value, resulting in a rapid increase over time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to a rapid decrease over time.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What is the initial value in an exponential function?
Back
The initial value is the value of the function when the independent variable (usually x) is zero.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
How can you identify if a graph represents exponential growth or decay?
Back
If the graph rises as it moves from left to right, it represents exponential growth. If it falls, it represents exponential decay.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form is f(x) = a * b^x, where 'a' is the initial value and 'b' is the growth (b > 1) or decay (0 < b < 1) factor.
7.
FLASHCARD QUESTION
Front
What does the base 'b' represent in an exponential function?
Back
The base 'b' indicates the growth or decay factor. If b > 1, the function grows; if 0 < b < 1, the function decays.
Tags
CCSS.HSF-IF.C.8B
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