Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  Consider the following two statements about t... Start Learning for Free
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. 
View all questions of this test
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. 
Free Test
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
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

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?
Question Description
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 2024 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 2024 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev