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The family of curves y = ax^3 + bx^2 + cx + d is classified as:
Practice Questions
Q1
The family of curves y = ax^3 + bx^2 + cx + d is classified as:
Linear
Quadratic
Cubic
Quartic
Questions & Step-by-Step Solutions
The family of curves y = ax^3 + bx^2 + cx + d is classified as:
Steps
Concepts
Step 1: Identify the equation given, which is y = ax^3 + bx^2 + cx + d.
Step 2: Recognize that this equation is a polynomial of degree 3 because the highest power of x is 3.
Step 3: Understand that a polynomial of degree 3 is called a cubic polynomial.
Step 4: Conclude that since the equation represents a cubic polynomial, it describes a family of cubic curves.
No concepts available.
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