Properties of Functions Previous Year Questions (PYQs) for CMI Data Science 2026: 1+ Solved Questions with Step-by-Step Solutions

Solve 1+ Properties of Functions previous year questions for CMI Data Science 2026 with answers and detailed solutions. Free sample questions below.

Properties of Functions: Solved Questions with Step-by-Step Explanations (1 Problems)

Question 1 SUB

Let $f$ be a continuous bijection from closed unit interval $[0, 1]$ onto itself. (Recall the Intermediate Value Theorem: let $f$ be a real valued continuous function on an interval $[a, b]$ . Let $c, d \in [a, b]$ be such that $f (c) < f (d)$ and let $α \in (f (c), f (d))$ be an intermediate value. Then there exists $y \in [a, b]$ such that $f (y) = α$ .)

A question from this chapter

Question 1

Let f be a continuous bijection from closed unit interval [0, 1] onto itself. (Recall the Intermediate Value Theorem: let f be a real valued continuous function on an interval [a, b] . Let c, d \in [a, b] be such that f (c) < f (d) and let α \in (f (c), f (d)) be an intermediate value. Then there exists y \in [a, b] such that f (y) = α .)

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