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Questions › JNU › JNU SSS 2018 › Q19
1 mark, −0.25Mathematics › Limits, continuity and differentiability › Intermediate value theorem, monotonicity and rootsModerateabout 2 min

JNU SSS 2018 Question 19: Limits, continuity and differentiability

VVV can take any value (positive, negative or zero). UUU is a function of VVV. Which of the following functions is/are monotonic transformation(s) of VVV?

(i) u=2v−13u = 2v - 13u=2v−13

(ii) u=e−v+v2u = e^{-v} + v^2u=e−v+v2

(iii) u=v2u = v^2u=v2

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V can take any value (positive, negative or zero). U is a function of V. Which of the following functions is/are monotonic transformation(s) of V? (i) u = 2v - 13 (ii) u = e^(-v) + v² (iii) u = v² (A) (i), (ii) and (iii) (B) (i) only (C) (ii) only (D) (iii) only

Also written as: V can take any value (positive, negative or zero). U is a function of V. Which of the following functions is/are monotonic transformation(s) of V? (i) u = 2v - 13 (ii) u = e^(-v) + v^2 (iii) u = v^2

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Intermediate value theorem, monotonicity and roots, part of Limits, continuity and differentiability in Mathematics.

Using continuity and the sign of the derivative to show roots exist or are unique.

TestStop has 12 past-paper questions on this subtopic.

Practise Limits, continuity and differentiabilityMore on Intermediate value theorem, monotonicity and roots

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