Consider the function: f(x) = {x2,      x ≤ 2          {4,        2 < x ≤ 4          {x + 2, if x > 4 (a) Sketch the graph of f(x). Find the following limits: (b) lim x→2+    f(x) (c) lim x→2−    f(x)

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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Consider the function:
f(x) = {x2,      x ≤ 2
         {4,        2 < x ≤ 4
         {x + 2, if x > 4


(a) Sketch the graph of f(x).

Find the following limits:
(b) lim x→2+    f(x)
(c) lim x→2−    f(x)

(d) lim x→2      f(x)
(e) lim x→4+    f(x)
(f) lim  x→4−    f(x)
(g) lim x→4      f(x)
(h) lim x→−3    f(x)
(i) lim x→5       f(x)

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