Writing Exponential Functions

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•
Mathematics
•
11th Grade
•
Hard
+5
Standards-aligned
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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 y = ab^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
How do you identify the base in an exponential function?
Back
The base 'b' in an exponential function y = ab^x is the number that is raised to the power of 'x'. It determines the growth or decay rate of the function.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a function to triple every day?
Back
If a function triples every day, it means that the value of the function is multiplied by 3 for each unit increase in the independent variable (usually time). This can be represented as y = a(3^x), where 'a' is the initial amount.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you write an exponential function from a word problem?
Back
To write an exponential function from a word problem, 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.
Tags
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form of an exponential growth function is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay function?
Back
The general form of an exponential decay function is y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
How can you determine if a function is exponential from a table of values?
Back
A function is exponential if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) increase by the same amount.
Tags
CCSS.HSF-LE.A.1A
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