Subject: Mathematics
Book: Maths Mastery
Rational functions may exhibit asymptotes where they approach but never touch certain lines. Horizontal asymptotes occur if the degrees of numerator and denominator favor a constant limit as x→∞. Vertical asymptotes often appear at values that make the denominator zero (like x=2 if (x–2) is in the denominator). Oblique (slant) asymptotes arise if the polynomial long division yields a linear term with a remainder. Knowing asymptotes helps graph rational functions, interpret large x behavior, and highlight possible domain restrictions. This concept is vital in calculus, ensuring a deeper view of function growth or singularities.
If the probability of an event is 1/4, what is the probability of its complement?
View QuestionWhat is the value of log₃(27)?
View QuestionWhat is the HCF of 48 and 180?
View QuestionWhat is the sum of all even numbers between 1 and 100?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionIf the length of a rectangle is doubled and the width is halved, what is the change in area?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View Question