What is an exponential function?
Exponential Functions

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 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 (b > 1) or decay (0 < b < 1) factor.
3.
FLASHCARD QUESTION
Front
What does the base 'b' represent in an exponential function?
Back
The base 'b' in an exponential function represents the growth or decay factor. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.
4.
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'.
5.
FLASHCARD QUESTION
Front
How do you evaluate an exponential function at a specific point?
Back
To evaluate an exponential function at a specific point, substitute the value of 'x' into the function and calculate the result.
6.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when the base 'b' is greater than 1, leading to an increase in value as 'x' increases. Exponential decay occurs when the base 'b' is between 0 and 1, leading to a decrease in value as 'x' increases.
7.
FLASHCARD QUESTION
Front
What is the initial value in the function f(x) = 5 * 3^x?
Back
The initial value in the function f(x) = 5 * 3^x is 5.
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