Linear, Quadratic, and Exponential Data Models

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What type of function has constant second differences?
Back
Quadratic function.
2.
FLASHCARD QUESTION
Front
How can you determine if a table of values represents a linear, quadratic, or exponential function?
Back
By analyzing the differences between the values: constant first differences indicate linear, constant second differences indicate quadratic, and a constant ratio indicates exponential.
3.
FLASHCARD QUESTION
Front
What is the general form of a linear function?
Back
y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
4.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
y = ab^x, where a is a constant, b is the base, and x is the exponent.
Tags
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What is the difference between linear and quadratic functions in terms of their graphs?
Back
Linear functions graph as straight lines, while quadratic functions graph as parabolas.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What are the characteristics of an exponential function's growth?
Back
Exponential functions grow rapidly and their rate of increase becomes faster as x increases.
Tags
CCSS.HSF-IF.C.8B
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