Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
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 is the y-intercept of an exponential function?
Back
The y-intercept of an exponential function f(x) = a * b^x is the value of f(0), which equals 'a'.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
How do you identify the initial value in an exponential function?
Back
The initial value in an exponential function f(x) = a * b^x is represented by 'a', which is the value of the function when x = 0.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
What does the base of an exponential function indicate?
Back
The base of an exponential function indicates the growth (if b > 1) or decay (if 0 < b < 1) rate of the function.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form of an exponential growth function is f(x) = a * b^x, where b > 1.
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay function?
Back
The general form of an exponential decay function is f(x) = a * b^x, where 0 < b < 1.
Tags
CCSS.HSF-LE.A.1A
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept of the function f(x) = 5(3)^x?
Back
The y-intercept is found by evaluating f(0): f(0) = 5(3)^0 = 5.
Tags
CCSS.HSF-IF.C.7E
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