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What would be the written equation that represents this function?
2 Answers
- TomVLv 72 weeks ago
y intercept = 3
x intercept = 4
horizontal asymptote = 3/4 (?)
vertical asymptote = 1
f(x) = u(x)/v(x)
y intercept = 3 → u(0) = 3
x intercept = 4 → u(4) = 0 → x - 4 is a factor of u(x)
u(x) = -(3/4)(x-4)
vertical asymptote = 1 → (x-1) is a factor of v(x)
horizontal asymptote = 3/4 → lim(x→±∞) u(x)/v(x) = 3/4
v(x) = k(x-1)
limit(x→±∞) -(3/4)(x-4) / [k(x-1)] = -3/(4k) = 3/4
k = -1
f(x) = -(3/4)(x-4)/[(-(x-1) = 3(x-4)/[4(x-1)]
Ans: f(x) = 3(x-4)/[4(x-1)]
