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The family of curves represented by y = kx^n, where n is a constant, is known as
The family of curves represented by y = kx^n, where n is a constant, is known as:
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Practice Questions
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Q1
The family of curves represented by y = kx^n, where n is a constant, is known as:
Polynomial curves
Rational curves
Trigonometric curves
Logarithmic curves
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The equation y = kx^n represents a family of polynomial curves.
Questions & Step-by-step Solutions
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Q
Q: The family of curves represented by y = kx^n, where n is a constant, is known as:
Solution:
The equation y = kx^n represents a family of polynomial curves.
Steps: 5
Show Steps
Step 1: Identify the equation given, which is y = kx^n.
Step 2: Recognize that 'k' is a constant that can change the shape of the curve.
Step 3: Understand that 'n' is also a constant that determines the degree of the polynomial.
Step 4: Realize that as 'k' and 'n' vary, different curves are formed, but they all follow the same general form.
Step 5: Conclude that this equation represents a family of polynomial curves because it is a polynomial function of x.
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