If f(x) = |x| + |x - 5|, then which of the following statements are TRUE? (A) f is a continuous function every where (B) f is a continuous function…
CUET UG 2025 — Mathematics Calculus
If f(x)=∣x∣+∣x−5∣, then which of the following statements are TRUE?
(A) f is a continuous function every where
(B) f is a continuous function except x=5 and x=0
(C) f is a continuous function except x=0 but not differentiable at x=5
(D) f is a continuous function everywhere but not differentiable at x=0 and x=5
Choose the correct answer from the options given below:
Held on 29 May 2025 · Verified 13 Jul 2026.
Options
- A
(A) and (B) only
- B
(B) and (C) only
- C
(A) and (D) only
- D
(B) and (D) only
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