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Questions and Answers
What happens to a rational function when the value of the denominator polynomial becomes zero?
What happens to a rational function when the value of the denominator polynomial becomes zero?
- The function becomes a constant
- The function becomes undefined (correct)
- The function remains unchanged
- The function becomes a linear equation
Which of the following is a characteristic of rational functions?
Which of the following is a characteristic of rational functions?
- They have a linear equation
- They have a polynomial in the denominator (correct)
- They have a constant value
- They have a variable exponent
What is the general form of a rational function?
What is the general form of a rational function?
- y = \frac{a}{x}
- y = ax^2 + bx + c
- y = \frac{ax + b}{cx + d} (correct)
- y = mx + b
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Study Notes
Rational Functions
- When the value of the denominator polynomial becomes zero, the rational function is undefined.
- A characteristic of rational functions is that they can be expressed as the quotient of two polynomials.
- The general form of a rational function is f(x) = p(x) / q(x), where p(x) and q(x) are polynomials.
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