For each rational function below, select the long-run behavior of the numerator and of the denominator. Then, determine the long-run behavior of t rational function. 3z - 41 +4 a) f(z) = %3D 3z2 + 41 10 Long-run behavior of numerator. As z goes to+oo, the numerator of f(z) goes to As z goes to -0o, the numerator of f(z) goes to Long-run behavior of denominator: As z goes to +00, the denominator of f(z) goes to !! As z goes to -0o, the denorminator of f(r) goes to Long-run behavior of rational function: As z goes to +00, f(r) goes to As z goes to-00, f(1) goes to 1-3z2 b) g(z) = 1² + 4 Long-run behavior of numerator. As z goes to +oo, the numerator of g(x) goes to As z goes to -oo, the numerator of g(x) goes to Long-run behavior of denominator: As a goes to +00, the denominator of g(z) goes to As z goes to -00, the denominator of g(z) goes to

For each rational function below, select the long-run behavior of the numerator and of the denominator. Then, determine the long-run behavior of t rational function. 3z - 41 +4 a) f(z) = %3D 3z2 + 41 10 Long-run behavior of numerator. As z goes to+oo, the numerator of f(z) goes to As z goes to -0o, the numerator of f(z) goes to Long-run behavior of denominator: As z goes to +00, the denominator of f(z) goes to !! As z goes to -0o, the denorminator of f(r) goes to Long-run behavior of rational function: As z goes to +00, f(r) goes to As z goes to-00, f(1) goes to 1-3z2 b) g(z) = 1² + 4 Long-run behavior of numerator. As z goes to +oo, the numerator of g(x) goes to As z goes to -oo, the numerator of g(x) goes to Long-run behavior of denominator: As a goes to +00, the denominator of g(z) goes to As z goes to -00, the denominator of g(z) goes to

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

For each rational function below, select the long-run behavior of the numerator and of the denominator. Then, determine the long-run behavior of the
rational function.
3z - 41 + 4
a) f(z) =
%3D
3z2 + 41
10
Long-run behavior of numerator.
As z goes to+oo, the numerator of f(z) goes to
As z goes to -0o, the numerator of f(z) goes to
Long-run behavior of denominator:
As z goes to +00, the denominator of f(z) goes to
!!
As z goes to -0o, the denominator of f(r) goes to
Long-run behavior of rational function:
As z goes to +00, f(r) goes to
As z goes to-00, f(1) goes to
1-3z2
b) g(z) =
12 + 4
Long-run behavior of numerator:
As z goes to +oo, the numerator of g(x) goes to
As z goes to -oo, the numerator of g(x) goes to
Long-run behavior of denominator:
As a goes to +00, the denominator of g(z) goes to
As z goes to -00, the denominator of g(a) goes to

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