Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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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 the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What does the 'a' represent in the function f(x) = a * b^x?
Back
The 'a' represents the y-intercept or initial value of the function.
Tags
CCSS.HSF.LE.B.5
3.
FLASHCARD QUESTION
Front
Identify the y-intercept in the function f(x) = 13 * (0.27)^x.
Back
The y-intercept is 13.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is the general shape of an exponential growth function?
Back
An exponential growth function increases rapidly as x increases, creating a J-shaped curve.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the general shape of an exponential decay function?
Back
An exponential decay function decreases rapidly as x increases, approaching the x-axis but never touching it.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How do you identify an exponential function from a table of values?
Back
If the ratio of consecutive outputs (y-values) is constant, the function is exponential.
Tags
CCSS.HSF-LE.A.1A
7.
FLASHCARD QUESTION
Front
What type of function does the equation y = 2x + 3 represent?
Back
Linear function.
Tags
CCSS.8.F.A.3
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