Pre-Calculus P5 HW 01.06.25: graphs of Exponential Functions

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form y = 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 rapidly as x increases, starting from a point above the x-axis and approaching zero as x decreases.
Tags
CCSS.HSF-IF.C.7E
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 zero as x increases.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is the base of an exponential function?
Back
The base of an exponential function is the constant 'b' in the function y = a * b^x, which determines the rate of growth or decay.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How do you identify exponential growth vs. decay from an equation?
Back
If the base 'b' is greater than 1, the function represents exponential growth. If 'b' is between 0 and 1, it represents exponential decay.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What is the effect of changing the exponent in an exponential function?
Back
Changing the exponent affects the steepness and direction of the graph. A positive exponent results in growth, while a negative exponent results in decay.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What does the equation y = 2^x represent?
Back
The equation y = 2^x represents an exponential growth function where the base is 2, indicating that the function doubles for every increase of 1 in x.
Tags
CCSS.HSF-IF.C.8B
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