1- To find the Horizontal Asymptote, make a fraction of the highest power term i
ID: 3114412 • Letter: 1
Question
1- To find the Horizontal Asymptote, make a fraction of the highest power term in the numerator and the highest power term in the denominator and then reduce that fraction
2- To find any Vertical Asymptotes, set the denominator equal to 0 and solve for x
3- If a Rational Function has a Vertical Asymptote at x=3, then the Domain is written All Real Numbers Except x = 3
4- To find the Domain, set the denominator equal to 0 and solve for x
1- Values of x found by solving q(x)=0 are part of the Domain
2- The Horizontal Asymptote is a guiding line for the function as the input values increase or decrease without bound
3- p(x) and q(x) are polynomials and q(x) is not equal to 0
4- Values of x found by solving q(x)=0 are NOT part of the Domain
5- f(x) will have Vertical Asymptotes at all input values where f(x)=0
Given the Rational Function f(x)=p(x)/q(x), which of the following statements are true? Assume the numerator and denominator have no common factors. Check all that apply.1- To find the Horizontal Asymptote, make a fraction of the highest power term in the numerator and the highest power term in the denominator and then reduce that fraction
2- To find any Vertical Asymptotes, set the denominator equal to 0 and solve for x
3- If a Rational Function has a Vertical Asymptote at x=3, then the Domain is written All Real Numbers Except x = 3
4- To find the Domain, set the denominator equal to 0 and solve for x
Explanation / Answer
For first case only 2 and 3 holds
For second casr only 2 and 4 holds.
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