#4-3 Comparing Two Functions Represented in Different Ways

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•
Mathematics
•
8th Grade
•
Hard
+8
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
Tags
CCSS.8.F.A.1
2.
FLASHCARD QUESTION
Front
What does it mean for a function to be linear?
Back
A linear function is a function that graphs to a straight line and 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
3.
FLASHCARD QUESTION
Front
What is a y-intercept?
Back
The y-intercept is the point where a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.
4.
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, and x is the exponent.
5.
FLASHCARD QUESTION
Front
How can you compare two functions represented in different ways?
Back
You can compare their outputs for the same inputs, analyze their graphs, or evaluate their equations to determine similarities and differences.
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing?
Back
A function is increasing if, as the input values increase, the output values also increase.
7.
FLASHCARD QUESTION
Front
What is the difference between a linear function and an exponential function?
Back
A linear function increases by a constant amount, while an exponential function increases by a percentage rate, leading to faster growth over time.
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