The family of curves defined by the equation y = k/x represents which type of fu
Practice Questions
Q1
The family of curves defined by the equation y = k/x represents which type of function?
Linear
Quadratic
Rational
Exponential
Questions & Step-by-Step Solutions
The family of curves defined by the equation y = k/x represents which type of function?
Step 1: Identify the equation given, which is y = k/x.
Step 2: Recognize that 'k' is a constant and 'x' is a variable.
Step 3: Understand that the equation can be rewritten as y = k * (1/x).
Step 4: Note that a rational function is defined as a function that can be expressed as the ratio of two polynomials.
Step 5: In this case, the numerator is the constant 'k' (which is a polynomial of degree 0) and the denominator is 'x' (which is a polynomial of degree 1).
Step 6: Since the equation y = k/x fits the definition of a rational function, we conclude that it represents a rational function.
