Is the graph of f(x) shown continuous at x = 0? Is it differentiable at x = 0? 4 2- -2 O f(x) is not continuous at x = 0 and f(x) is differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is not differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is differentiable at x = 0. O f(x) is not continuous at x = 0 and f(x) is not differentiable at x = 0. 21

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Is the graph of f(x) shown continuous at x = 0?
Is it differentiable at x = 0?
4
2-
-2
-1
1
-2-
-4
O f(x) is not continuous at x = 0 and f(x) is differentiable at x = 0.
O f(x) is continuous at x = 0 and f(x) is not differentiable at x = 0.
O f(x) is continuous at x = 0 and f(x) is differentiable at x = 0.
O f(x) is not continuous at x = 0 and f(x) is not differentiable at x = 0.
Transcribed Image Text:Is the graph of f(x) shown continuous at x = 0? Is it differentiable at x = 0? 4 2- -2 -1 1 -2- -4 O f(x) is not continuous at x = 0 and f(x) is differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is not differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is differentiable at x = 0. O f(x) is not continuous at x = 0 and f(x) is not differentiable at x = 0.
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