What is the difficulty level of Functions questions in AIEEE-CBSE-ENG-03?

AIEEE-CBSE-ENG-03 Functions questions include 1 easy, 17 medium, and 0 hard questions on ExamTest.live.

Are AIEEE-CBSE-ENG-03 Functions questions free?

Yes, all questions including answers and detailed explanations are 100% free on ExamTest.live.

ExamTest.live has 18 Functions questions from AIEEE-CBSE-ENG-03, covering years 2004–2026.

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Q1mediummcqMathematicsAIEEE 20072026

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Let f : R \to R be a function defined by f (x) = min {x + 1, ∣ x ∣ + 1} . Then which of the following is true?

Q2mediummcqMathematicsAIEEE 20072026

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The function f (x) = tan^{- 1} (sin x + cos x) is an increasing function in:

Q3mediummcqMathematicsAIEEE 20072026

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The largest interval lying in (- \frac{π}{2}, \frac{π}{2}) for which the function f (x) = [cos^{- 1} (\frac{1 - x}{2}) + lo g (cos x)] is defined, is:

Q4mediummcqMathematicsAIEEE 20062026

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If x is real, the maximum value of \frac{3 x ^{2} + 9 x + 17}{3 x ^{2} + 9 x + 7} is:

Q5mediummcqMathematicsAIEEE2026

A real valued function f (x) satisfies the functional equation f (x - y) = f (x) f (y) - f (a - x) f (a + y) where a is a given constant and f (0) = 1 . Then f (2 a - x) is equal to:

Q6mediummcqMathematicsAIEEE 20092026

1: The set {x : f (x) = f^{- 1} (x)} = {0, - 1} where f (x) = (x + 1)^{2} - 1, x \geq - 1 . 2: f is a bijection.

Q7mediummcqMathematicsAIEEE 20092026

For real x, let f (x) = x^{3} + 5 x + 1, then:

Q8mediummcqMathematicsAIEEE2026

How many real solutions does the equation x^{7} + 14 x^{5} + 16 x^{3} + 30 x - 560 = 0 have?

Q9mediummcqMathematicsAIEEE2026

Let f : N \to Y be a function defined as f (x) = 4 x + 3, where Y = {y \in N : y = 4 x + 3 for some x \in N} . The inverse of the function is:

Q10mediummcqMathematicsAIEEE-CBSE-ENG-032026

The function f (x) = lo g (x + x^{2} + 1) is:

Q11mediummcqMathematicsAIEEE-CBSE-ENG-032026

Domain of definition of the function f (x) = \frac{3}{4 - x ^{2}} + lo g_{10} (x^{3} - x), is:

Q12mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f : R \to R satisfies f (x + y) = f (x) + f (y), for all x, y \in R and f (1) = 7, then \sum_{r = 1}^{n} f (r) is:

Q13mediummcqMathematicsAIEEE-CBSE-ENG-032026

A function f from the set of natural numbers to integers defined by f (n) = {\frac{n - 1}{2}, - \frac{n}{2}, when n is odd when n is even is:

Q14mediummcqMathematicsAIEEE2026

Let f : (- 1, 1) \to B be a function defined by f (x) = tan^{- 1} \frac{2 x}{1 - x ^{2}}, then f is both one-one and onto when B is the interval:

Q15easymcqMathematicsAIEEE 20042004

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The graph of the function y = f (x) is symmetrical about the line x = 2 then

Q16mediummcqMathematicsAIEEE 20042004

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If f : R \to S, defined by f (x) = sin x - 3 cos x + 1, is onto, then the interval of S is

Q17mediummcqMathematicsAIEEE 20042004

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The range of the function f (x) =^{7 - x} P_{x - 3} is

Q18mediummcqMathematicsAIEEE 20042004

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The domain of the function f (x) = \frac{s i n ^{- 1} ( x - 3 )}{9 - x ^{2}} is

How many Functions questions come in AIEEE-CBSE-ENG-03?▼

Our database has 18 Functions questions from AIEEE-CBSE-ENG-03 covering 2004 to 2026.

What difficulty are AIEEE-CBSE-ENG-03 Functions questions?▼

The 18 AIEEE-CBSE-ENG-03 Functions questions include 1 easy, 17 medium and 0 hard level questions.

Where can I find more Functions questions for other exams?▼

Visit /tag/functions to see all Functions questions across all exams including Mathematics Mock Test - 5, AIEEE 2004, AIEEE-CBSE-ENG-03.