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4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4

4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4

College Algebra (MindTap Course List)
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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4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4
Transcribed Image Text:4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B. differentiable but not continuous C. neither continuous nor differentiable D. both continuous and differentiable 5. The function shown. is A. is continuous at x = 4 B. is differentiable at x = 4 C. has a limit that exists at x = 4 D. is continuous and differentiable at x = 4
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