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Determine the end behavior of each rational function below. Graph each function on the graphing calculator, and

explain how the graph supports your analysis of the end behavior.
a. f(x) = x2 − 3 / x3
b. f(x) = x2 − 3 / x2 + 1
c. f(x) = x3 / x2 − 3

User Nieminen
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1 Answer

4 votes

Answer:

a) End behavior: As → ∞, () → . As → −∞, () → .

Looking at the ends of the graph, as goes to ∞ or −∞, gets

closer to .

b) End behavior: As → ∞, () → . As → −∞, () → .

Looking at the ends of the graph, as x goes to ∞ or −∞, gets

closer to .

c) End behavior: As → ∞, () → ∞, and as → −∞, () → −∞.

Looking at the ends of the graph, as goes to ∞, continues to increase

toward ∞, and as x goes to −∞, continues to decrease toward −∞.

Obs:. Graphics are attached

Determine the end behavior of each rational function below. Graph each function on-example-1
User Jschnurr
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