ppose that the function fis defined for all real numbers as follows. { 1 + x ² f(x) = 1+x²_ if x<1 9x-7 if x ≥1 aph the function f. Then determine whether or not the function is continuous. 12 -10. -8 -6. fr 4 -2 12+ -10- 8- 6- 4- :2- 4- 6- 8- -10- -12+ .2 .4 6 8 ..10 12 Is the function f continuous? O Yes X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the function fis defined for all real numbers as follows.
f(x) =<
) = { 1 + ²/
1+x² if x<1
9x-7 if x>1
Graph the function f. Then determine whether or not the function is continuous.
-12 -10 -8
.-6.
4
2.
12
∙10-
8.
6-
4-
:2
32-
4.
:6-
:8-
-10-
-12-
4
.6.
.8 10 12
O
Is the function f continuous?
O Yes
X
O No
Transcribed Image Text:Suppose that the function fis defined for all real numbers as follows. f(x) =< ) = { 1 + ²/ 1+x² if x<1 9x-7 if x>1 Graph the function f. Then determine whether or not the function is continuous. -12 -10 -8 .-6. 4 2. 12 ∙10- 8. 6- 4- :2 32- 4. :6- :8- -10- -12- 4 .6. .8 10 12 O Is the function f continuous? O Yes X O No
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