IITM BS Question 4 - Week 7 Practice

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IITM BS Question 4 - Week 7 Practice | Prasnya

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Q4Numerical4 Marks21 Dec 2025

If the function

f(x) = \begin{cases} Ax - B, & \text{if } x \le -1 \\ 2x^2 + 3Ax + B, & \text{if } -1 < x \le 1 \\ 4, & \text{if } x > 1 \end{cases}

is continuous for all

x \in \mathbb{R}

, then find the value of

A + B

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21 Dec 2025

Mathematics 1 · Week 7

Q4.If the function

f(x) = \begin{cases} Ax - B, & \text{if } x \le -1 \\ 2x^2 + 3Ax + B, & \text{if } -1 < x \le 1 \\ 4, & \text{if } x > 1 \end{cases}

is continuous for all

x \in \mathbb{R}

, then find the value of

A + B

Your Answer

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Check

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