What is an exponential equation?
Writing Exponential Equations

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exponential equation is an equation in which a variable appears in the exponent, typically in the form of y = a * b^x, where a is a constant, b is the base, and x is the exponent.
2.
FLASHCARD QUESTION
Front
How do you identify the base in an exponential equation?
Back
The base in an exponential equation is the number that is raised to a power. In the equation y = a * b^x, b is the base.
3.
FLASHCARD QUESTION
Front
What does it mean for an exponential function to be increasing?
Back
An exponential function is increasing if the base (b) is greater than 1, meaning as x increases, y also increases.
4.
FLASHCARD QUESTION
Front
What does it mean for an exponential function to be decreasing?
Back
An exponential function is decreasing if the base (b) is between 0 and 1, meaning as x increases, y decreases.
5.
FLASHCARD QUESTION
Front
How do you write an exponential equation from a word problem?
Back
Identify the initial value and the growth/decay factor, then use the form y = a * b^x, where a is the initial value and b is the growth/decay factor.
6.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when a quantity increases over time, while exponential decay occurs when a quantity decreases over time.
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form of an exponential function is y = a * b^x, where a is the initial amount, b is the base (growth/decay factor), and x is the exponent.
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