II. Given: sinh r − 1 if x < 0 tan x f(x) = X- - [5x - 2] if 0 ≤ x ≤ 2. |5x - 12-2 if x > 2 x-2 Determine if f is continuous or discontinuous at x = 0 and at x = 2. If discontinuous, classify the type of discontinuity as removable, jump essential, or infinite essential.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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II. Given:
sinh r−1
if x < 0
tan x
f(x) =
x-[5x2]
if 0 ≤ x ≤ 2.
|5x - 12 - 2
if x > 2
x-2
Determine if f is continuous or discontinuous at x = 0 and at x = 2. If discontinuous, classify the
type of discontinuity as removable, jump essential, or infinite essential.
Transcribed Image Text:II. Given: sinh r−1 if x < 0 tan x f(x) = x-[5x2] if 0 ≤ x ≤ 2. |5x - 12 - 2 if x > 2 x-2 Determine if f is continuous or discontinuous at x = 0 and at x = 2. If discontinuous, classify the type of discontinuity as removable, jump essential, or infinite essential.
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