Show that f is continuous on (-∞, ∞).S₁ x²(In(x)At x = 1,f(x)On the interval (-∞, 1), f isa rootOn the interval (1, ∞), f is a logarithmiclim f(x) =X→ 1-andlim f(x) =X→1+=limX→ 1-= limX→ 1+so lim f(x) =x → 1Need Help?if x ≤ 1if x > 1Read ItAlso, f(1) =X function; therefore f is continuous on (-∞, 1).function; therefore f is continuous on (1, ∞).Thus, f is continuous at x = 1. We conclude that f is continuous on (-∞, ∞).

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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