4. At x = 4, the function f(x): (x², x ≤ 4₁ = is (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 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 ≤ 4₁ = is (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 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)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc3ab675-e44a-4eed-802f-660b9860a018%2F34e0ed53-3ba8-44b1-ad34-f26c7c38fa92%2Fevs0pk6_processed.png&w=3840&q=75)
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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