BR 11/7/24 Most Missed Exponential Function Flashcard

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•
Mathematics
•
9th - 12th Grade
•
Hard
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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 the base (a positive real number), and x is the exponent.
2.
FLASHCARD QUESTION
Front
How can you identify an exponential function from a table of values?
Back
An exponential function can be identified by a constant ratio of the differences between consecutive y-values when the x-values are equally spaced.
3.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential functions?
Back
Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.
4.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function indicates the growth (if greater than 1) or decay (if between 0 and 1) rate of the function.
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form of an exponential function is f(x) = a * b^x, where a is the initial value and b is the growth factor.
6.
FLASHCARD QUESTION
Front
Can an exponential function ever be negative?
Back
No, an exponential function is always positive for real numbers when a > 0 and b > 0.
7.
FLASHCARD QUESTION
Front
What is the domain and range of an exponential function?
Back
The domain of an exponential function is all real numbers, while the range is all positive real numbers.
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