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Consider the following two statements about the function f(x) = |x|
P: f(x) is continuous for all real values of x
Q: f(x) is differentiable for all real values of x
Which of the f oll owi ng is TRU E?
- a)P is true and Q is false
- b)P is false and Q is true
- c)Both P and Q are true
- d)Both P and Q are false
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following two statements about the function f(x) = |x| P:...
The graph of f(x) is
f(x) is continuous for all real values of x Lim |x| = Lim |x| = 0
as can be seen from graph of |x|.
and Lim f(x) = +1 as can be seen from graph of |x|
x → 0+
Left deriva tive ≠ Rig ht derivative
So |x| is continuous but not differentiable at x = 0.
Most Upvoted Answer
Consider the following two statements about the function f(x) = |x| P:...
The graph of f(x) is
f(x) is continuous for all real values of x Lim |x| = Lim |x| = 0
as can be seen from graph of |x|.
and Lim f(x) = +1 as can be seen from graph of |x|
x → 0+
Left deriva tive ≠ Rig ht derivative
So |x| is continuous but not differentiable at x = 0.
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Community Answer
Consider the following two statements about the function f(x) = |x| P:...
According to the graph of this function that is continuous for all real value .but it not differential because value of the limit not equal for both limit
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Consider the following two statements about the function f(x) = |x| P: f(x) is continuous for all real values of xQ: f(x) is differentiable for all real values of x Which of the f oll owi ng is TRU E?a)P is true and Q is false b)P is false and Q is true c)Both P and Q are true d)Both P and Q are false Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2026 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following two statements about the function f(x) = |x| P: f(x) is continuous for all real values of xQ: f(x) is differentiable for all real values of x Which of the f oll owi ng is TRU E?a)P is true and Q is false b)P is false and Q is true c)Both P and Q are true d)Both P and Q are false Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following two statements about the function f(x) = |x| P: f(x) is continuous for all real values of xQ: f(x) is differentiable for all real values of x Which of the f oll owi ng is TRU E?a)P is true and Q is false b)P is false and Q is true c)Both P and Q are true d)Both P and Q are false Correct answer is option 'A'. Can you explain this answer?.
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