Exponential Functions Review
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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 can you identify an exponential function from a list of functions?
Back
An exponential function has a variable in the exponent. For example, f(x) = 3^x is exponential, while f(x) = 3x^2 is not.
3.
FLASHCARD QUESTION
Front
What is the common ratio in an exponential function?
Back
The common ratio, often denoted as 'b', is the factor by which the function's value multiplies for each unit increase in 'x'.
4.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to rapid increases over time.
Tags
CCSS.HSF-LE.A.1A
5.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to rapid decreases over time.
Tags
CCSS.HSF-IF.C.8B
6.
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 'a', which is the function's value when x = 0.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
If a bank offers 2.5% simple interest, how do you calculate the interest earned?
Back
Interest earned = Principal * Rate * Time. For example, for $5,000 at 2.5% for 3 years: $5000 * 0.025 * 3 = $375.
Tags
CCSS.HSF.BF.A.2
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