7. Consider f(x) = for X for (x-3)² for (a) Sketch the graph of f. 3-x (b) Find each limit. (i) lim f(x) = x→-1 x < -1 -1≤x≤3 x > 3 (c) At which numbers is f discontinuous? (ii) lim f(x) = x →3

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 3SE: Why does the vertical line test tell as whether the graph of a relation represents a function?
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Question
for
X
for
(x-3)² for
(a) Sketch the graph of f.
7. Consider f(x) =
3-x
(b) Find each limit.
(i) lim f(x)
x→-1
x < -1
-1≤x≤ 3
x > 3
(c) At which numbers is f discontinuous?
-5-..
(ii) lim f(x)
x 3
(d) At which of the numbers from (b) is f continuous from the right?
(e) At which of the numbers from (b) is f continuous from the left?
=
Transcribed Image Text:for X for (x-3)² for (a) Sketch the graph of f. 7. Consider f(x) = 3-x (b) Find each limit. (i) lim f(x) x→-1 x < -1 -1≤x≤ 3 x > 3 (c) At which numbers is f discontinuous? -5-.. (ii) lim f(x) x 3 (d) At which of the numbers from (b) is f continuous from the right? (e) At which of the numbers from (b) is f continuous from the left? =
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