I dont understand asymptotes! please can someone help me!!!????

Mathematics

2 answers:

CaHeK987 [17]4 years ago

8 0

Answer:

Hi there! I might be able to help you! Here are these answers.

A, B, C: -1, 5, and 0.

Step-by-step explanation:

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptotes for the function . The graph has a vertical asymptote with the equation x = 1. Certain functions, such as exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e–6x – 4 is: y = -4, and the horizontal asymptote of y = 5 (2x) is y = 0. An asymptote of a curve y=f(x) that has an infinite branch is called a line such that the distance between the point (x,f(x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity. Asymptotes can be vertical, oblique (slant) and horizontal. The vertical asymptotes will occur at those values of x for which the denominator is equal to zero: x − 1=0 x = 1 Thus, the graph will have a vertical asymptote at x = 1. To find the horizontal asymptote, we note that the degree of the numerator is two and the degree of the denominator is one. Some polynomials may have any rational factors, such as x^2 + 1. Set each factor in the denominator equal to zero and solve for the variable. If this factor does not appear in the numerator, then it is a vertical asymptote of the equation. If it does appear in the numerator, then it is a hole in the equation.

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