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The family of curves y = kx^n, where n is a constant, represents:
The family of curves y = kx^n, where n is a constant, represents:
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Practice Questions
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Q1
The family of curves y = kx^n, where n is a constant, represents:
Linear functions
Polynomial functions
Rational functions
Trigonometric functions
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The equation y = kx^n represents a family of polynomial functions.
Questions & Step-by-step Solutions
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Q
Q: The family of curves y = kx^n, where n is a constant, represents:
Solution:
The equation y = kx^n represents a family of polynomial functions.
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' changes, you get different curves, but they all follow the same basic form.
Step 5: Conclude that since the equation is in the form of k times x raised to a power (n), it represents polynomial functions.
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