Writing Exponential Functions from Word Problems

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+1
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 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
How do you identify the initial value in an exponential function?
Back
The initial value is represented by 'a' in the function f(x) = a(b)^x. It is the value of the function when x = 0.
Tags
CCSS.HSF.LE.B.5
3.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base indicates the growth or decay factor. If the base is greater than 1, the function models growth; if it is between 0 and 1, it models decay.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you write an exponential function for growth?
Back
For growth, the function is written as f(t) = a(1 + r)^t, where 'r' is the growth rate.
Tags
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
How do you write an exponential function for decay?
Back
For decay, the function is written as f(t) = a(1 - r)^t, where 'r' is the decay rate.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is f(t) = 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
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