linear vs exponential functions
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•
Mathematics
•
7th - 9th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in 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 appears in the exponent. It can be expressed in the form y = a * b^x, where a is a constant, b is the base, and x is the exponent.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from a graph?
Back
A linear function will show a straight line when graphed, indicating a constant rate of change.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
FLASHCARD QUESTION
Front
How can you identify an exponential function from a graph?
Back
An exponential function will show a curve that increases or decreases rapidly, indicating a variable rate of change.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation y = mx + b.
7.
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.
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