Exponential Functions Part 1

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•
Mathematics
•
9th 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
What does the graph of an exponential growth function look like?
Back
The graph of an exponential growth function rises sharply as x increases, showing a rapid increase in value.
3.
FLASHCARD QUESTION
Front
What does the graph of an exponential decay function look like?
Back
The graph of an exponential decay function falls sharply as x increases, approaching zero but never touching the x-axis.
4.
FLASHCARD QUESTION
Front
What is the growth factor in an exponential function?
Back
The growth factor is the base 'b' in the function f(x) = a * b^x, which indicates how much the function increases for each unit increase in x.
5.
FLASHCARD QUESTION
Front
What is the decay factor in an exponential function?
Back
The decay factor is the base 'b' in the function f(x) = a * b^x, where 0 < b < 1, indicating how much the function decreases for each unit increase in x.
6.
FLASHCARD QUESTION
Front
How do you identify exponential growth from a table of values?
Back
Exponential growth can be identified if the ratio of consecutive outputs (y-values) is constant and greater than 1.
7.
FLASHCARD QUESTION
Front
How do you identify exponential decay from a table of values?
Back
Exponential decay can be identified if the ratio of consecutive outputs (y-values) is constant and less than 1.
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