WBJEE PYQs for Continuity of a Function with Solutions: Practice WBJEE Previous Year Questions

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Yashodeep Mahurkar

Updated on - Dec 31, 2025

Continuity of a Function is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Continuity of a Function with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Continuity of a Function questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Continuity of a Function with Solutions

1.
Let \( f(x) = x^2 \), \( x \in [-1, 1] \). Then which of the following are correct?
- \( f \) has a minimum at \( x = 0 \).
- \( f \) has the maximum at \( x = 1 \).
- \( f \) is continuous on \( [-1, 1] \).
- \( f \) is bounded on \( [-1, 1] \).
View Solution
2.
If \( f(x) = \frac{3x - 4}{2x - 3} \), then \( f(f(f(x))) \) will be:
- \( x \)
- \( 2x \)
- \( \frac{2x - 3}{3x - 4} \)
- \( \frac{3x - 4}{2x - 3} \)
View Solution
3.
Let \( u + v + w = 3 \), \( u, v, w \in \mathbb{R} \) and \( f(x) = ux^2 + vx + w \) be such that \( f(x + y) = f(x) + f(y) + xy \) for all \( x, y \in \mathbb{R} \). Then \( f(1) \) is equal to:
- \( \frac{5}{2} \)
- \( \frac{1}{2} \)
- \( \frac{1}{\sqrt{2}} \)
- \( 3 \)
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WBJEE PYQs for Continuity of a Function with Solutions: Practice WBJEE Previous Year Questions

WBJEE PYQs for Continuity of a Function with Solutions

1.
Let \( f(x) = x^2 \), \( x \in [-1, 1] \). Then which of the following are correct?

2.
If \( f(x) = \frac{3x - 4}{2x - 3} \), then \( f(f(f(x))) \) will be:

3.
Let \( u + v + w = 3 \), \( u, v, w \in \mathbb{R} \) and \( f(x) = ux^2 + vx + w \) be such that \( f(x + y) = f(x) + f(y) + xy \) for all \( x, y \in \mathbb{R} \). Then \( f(1) \) is equal to:

Fees Structure

Structure based on different categories

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WBJEE PYQs for Continuity of a Function with Solutions

1.Let \( f(x) = x^2 \), \( x \in [-1, 1] \). Then which of the following are correct?

2.If \( f(x) = \frac{3x - 4}{2x - 3} \), then \( f(f(f(x))) \) will be:

3.Let \( u + v + w = 3 \), \( u, v, w \in \mathbb{R} \) and \( f(x) = ux^2 + vx + w \) be such that \( f(x + y) = f(x) + f(y) + xy \) for all \( x, y \in \mathbb{R} \). Then \( f(1) \) is equal to:

Fees Structure

Structure based on different categories

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1.
Let \( f(x) = x^2 \), \( x \in [-1, 1] \). Then which of the following are correct?

2.
If \( f(x) = \frac{3x - 4}{2x - 3} \), then \( f(f(f(x))) \) will be:

3.
Let \( u + v + w = 3 \), \( u, v, w \in \mathbb{R} \) and \( f(x) = ux^2 + vx + w \) be such that \( f(x + y) = f(x) + f(y) + xy \) for all \( x, y \in \mathbb{R} \). Then \( f(1) \) is equal to: