What is an exponential function?
Exponential Functions (Graphs)

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Mathematics
•
9th - 12th 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 does the graph of an exponential growth function look like?
Back
The graph of an exponential growth function rises steeply as x increases, starting from a point above the x-axis and approaching the y-axis but never touching it.
3.
FLASHCARD QUESTION
Front
What does the graph of an exponential decay function look like?
Back
The graph of an exponential decay function decreases rapidly as x increases, starting from a point above the x-axis and approaching the x-axis but never touching it.
4.
FLASHCARD QUESTION
Front
What is the base in an exponential function?
Back
The base in an exponential function is the constant 'b' in the function f(x) = a * b^x, which determines the rate of growth or decay.
5.
FLASHCARD QUESTION
Front
How can you identify exponential growth from a graph?
Back
Exponential growth can be identified by a curve that rises steeply to the right, indicating that the function's value increases rapidly as x increases.
6.
FLASHCARD QUESTION
Front
How can you identify exponential decay from a graph?
Back
Exponential decay can be identified by a curve that falls steeply to the right, indicating that the function's value decreases rapidly as x increases.
7.
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'.
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