Let f(x) = p(x)/h(x), where p(x) is a ppolynomial of degree a and h(x) is a poly

Question

Let f(x) = p(x)/h(x), where p(x) is a ppolynomial of degreea and h(x) is a polynomial of degree b. Complete each statement with an equal sign or an inequalitysign. a) f(x) has a horizontal asymptote if a ____ b b) The x-axis is an asymptote of f(x) if a ____b c) Polynomial division should be used to find the end behaviorasymptote if a ______ b Let f(x) = p(x)/h(x), where p(x) is a ppolynomial of degreea and h(x) is a polynomial of degree b. Complete each statement with an equal sign or an inequalitysign. a) f(x) has a horizontal asymptote if a ____ b b) The x-axis is an asymptote of f(x) if a ____b c) Polynomial division should be used to find the end behaviorasymptote if a ______ b

Explanation / Answer

   1) If the power of the numerator ishigher than the power of the denominator, then there would be noasymptote.    2) If instead the numerator has alower power, then the horizontal asymptote is the x-axis.    3) If the power is the same for thedenominator and the numerator, then it is basically the division ofthe coefficients of the numerator by the denominator. b) Think about when the denominator is equal to zero, howwould or when would such occur? c) This is going back to the 3 things to think abouthorizontal asymptotes.

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.