Graphing Exponential Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the range of an exponential function of the form f(x) = a(b^x) where a > 0?
Back
(0, ∞) if a > 0.
2.
FLASHCARD QUESTION
Front
What is the initial value of the exponential function f(x) = a(b^x)?
Back
The initial value is 'a'.
3.
FLASHCARD QUESTION
Front
What is a horizontal asymptote in the context of exponential functions?
Back
A horizontal line that the graph approaches as x approaches ±∞.
4.
FLASHCARD QUESTION
Front
What type of function is represented by f(x) = a(b^x) where b > 1?
Back
Exponential Growth.
5.
FLASHCARD QUESTION
Front
What type of function is represented by f(x) = a(b^x) where 0 < b < 1?
Back
Exponential Decay.
6.
FLASHCARD QUESTION
Front
How do you identify the horizontal asymptote of the function f(x) = a(b^x) + k?
Back
The horizontal asymptote is y = k.
7.
FLASHCARD QUESTION
Front
What does the base 'b' represent in the exponential function f(x) = a(b^x)?
Back
The growth (b > 1) or decay (0 < b < 1) factor.
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