Exponential Functions

Flashcard
•
Mathematics
•
9th Grade
•
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. It shows rapid growth or decay.
2.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when a quantity increases by a constant percentage over time, while exponential decay occurs when a quantity decreases by a constant percentage over time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form is f(x) = a(1 + r)^x, where 'a' is the initial amount and 'r' is the growth rate.
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay function?
Back
The general form is f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How do you identify an exponential growth graph?
Back
An exponential growth graph rises steeply as x increases, showing a J-shaped curve.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How do you identify an exponential decay graph?
Back
An exponential decay graph falls steeply as x increases, approaching the x-axis but never touching it.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept is the initial value of the function, found by evaluating f(0). For f(x) = a(b^x), it is 'a'.
Tags
CCSS.HSF-IF.C.7E
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