
Key Features of Cubic Functions
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a cubic function?
Back
A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the key features of cubic functions?
Back
Key features include: 1) Degree: 3, 2) Up to 3 real roots (x-intercepts), 3) Continuous and smooth curve, 4) Can have one or two turning points.
3.
FLASHCARD QUESTION
Front
What is the domain of a cubic function?
Back
The domain of a cubic function is all real numbers, represented as (-∞, ∞).
4.
FLASHCARD QUESTION
Front
What is the range of a cubic function?
Back
The range of a cubic function is also all real numbers, represented as (-∞, ∞).
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
5.
FLASHCARD QUESTION
Front
What is an increasing interval in a cubic function?
Back
An increasing interval is a section of the graph where the function values rise as x increases.
6.
FLASHCARD QUESTION
Front
What is a decreasing interval in a cubic function?
Back
A decreasing interval is a section of the graph where the function values fall as x increases.
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a cubic function?
Back
The y-intercept is found by evaluating the function at x = 0, i.e., f(0).
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