4. Given [2r + 5], if x < -1 4 - 2x f(1) = 1² – 2x' if - 1

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4. Given
[2r + 5],
if x < -1
4 - 2x
f(1) =
1² – 2x'
if - 1<x < 2 .
sin(x – 2)
if æ 22
2
a. Discuss the continuity of f at r = -1 and at x = 2. If discontinuous, classify the type of
discontinuity as removable, jump essential or infinite essential.
b. Determine if f is differentiable at r = 2.
Transcribed Image Text:4. Given [2r + 5], if x < -1 4 - 2x f(1) = 1² – 2x' if - 1<x < 2 . sin(x – 2) if æ 22 2 a. Discuss the continuity of f at r = -1 and at x = 2. If discontinuous, classify the type of discontinuity as removable, jump essential or infinite essential. b. Determine if f is differentiable at r = 2.
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