Linear vs Exponential Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that creates a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a function in which an independent variable is in the exponent. It has the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
3.
FLASHCARD QUESTION
Front
How does the graph of a linear function look?
Back
The graph of a linear function is a straight line that can slope upwards or downwards.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
FLASHCARD QUESTION
Front
How does the graph of an exponential function look?
Back
The graph of an exponential function is a curve that increases or decreases rapidly, showing exponential growth or decay.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential growth?
Back
Linear growth increases by a constant amount, while exponential growth increases by a percentage of the current value, leading to faster growth over time.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating the value of an exponential function?
Back
The formula is y = ab^x, where a is the initial value, b is the growth factor, and x is the time or number of periods.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean for a function to decrease by a percentage each year?
Back
It means that the value of the function is multiplied by a factor less than 1 each year, indicating exponential decay.
Tags
CCSS.HSF-IF.C.8B
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