Riohxncho
26.06.2019 •
Mathematics
Correct answers only ! what are the equations for the vertical and horizontal asymptotes of the function?
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Ответ:
(A) vertical asymptote: x = 2, horizontal asymptote: y = 1
Step-by-step explanation:
Vertical Asymptote is the restriction on the x-value. The denominator cannot be zero, so x - 2 ≠ 0 ⇒ x ≠ 2
The restricted value on x is when x = 2 which is the vertical asymptote
Horizontal Asymptote (H.A.) is the restriction on the y-value. This is a comparison of the numerator (n) and denominator (m). There are 3 rules that will help you:
n > m No H.A. (use long division to find slant asymptote)n = m H.A. is the coefficient of n divided by coefficient of mn < m H.A. is 0In the given problem, n < m so y = 0, however there is also a vertical shift of up 1 so the H.A. also shifts up. This results in H.A. of y = 1
Ответ:
yes.
Step-by-step explanation:
by performing the vertical line test, you can see that the line only goes through one point, so it is a function.