Let S² +1 f(x) = if x < 2 lx - 2)2 if x 2 2' (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = x-2 lim f(x) = x- 2* (b) Does lim f(x) exist? x- 2 O Yes O No (c) Sketch the graph of f. y y of 5 2 3 2 2 3 4 -1 1 2 3 4 y y 4 5 3 2 1 2 3 4 -1 2 4 2.
Let S² +1 f(x) = if x < 2 lx - 2)2 if x 2 2' (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = x-2 lim f(x) = x- 2* (b) Does lim f(x) exist? x- 2 O Yes O No (c) Sketch the graph of f. y y of 5 2 3 2 2 3 4 -1 1 2 3 4 y y 4 5 3 2 1 2 3 4 -1 2 4 2.
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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Transcribed Image Text:Let
S² +1
f(x) =
if x < 2
lx - 2)2 if x 2 2'
(a) Find the following limits. (If an answer does not exist, enter DNE.)
lim f(x) =
x-2
lim f(x) =
x- 2*
(b) Does lim f(x) exist?
x- 2
O Yes
O No
(c) Sketch the graph of f.
y
y
of
5
2
3
2
2
3
4
-1
1
2
3
4
y
y
4
5
3
2
1
2
3
4
-1
2
4
2.
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