Relations And Functions Mock Tests

43 questions available

Relations And Functions Mock Test 1

Questions: 30

Relations And Functions Mock Test 2

Questions: 13

Sample Questions

Class 12 Mathematics

The function f(x) = eˣ is:

A one-one and onto

B one-one but not onto

C onto but not one-one

D neither one-one nor onto

Class 11 Mathematics

The range of the function f(x) = |x - 1| is:

A (-infinity, infinity)

B [0, infinity)

C (0, infinity)

D [1, infinity)

Class 11 Mathematics

If f(x) = x² − 3x + 2, then the value of f(f(3)) is:

A 0

B 2

C 20

D 6

Class 12 Mathematics

The function f: R → R defined by f(x) = x³ − x is:

A neither one-one nor onto

B onto but not one-one

C one-one but not onto

D one-one and onto

Class 11 Mathematics

If f(x) = x² + 3x and g(x) = 2x - 1, then (f ∘ g)(x) is equal to:

A 4x² + 2x - 2

B 4x² + 10x + 3

C 2x² + 3x - 1

D 4x² + 6x - 1

Class 12 Mathematics

The inverse of the function f(x) = 3x − 5 is:

A f⁻¹(x) = (x + 5)/3

B f⁻¹(x) = (x − 5)/3

C f⁻¹(x) = 3x + 5

D f⁻¹(x) = (x − 3)/5

JEE Main Mathematics

The domain of f(x) = √(x² - 4) is:

A (-∞, -2] ∪ [2, ∞)

B [-2, 2]

C (-∞, -2) ∪ (2, ∞)

D (-2, 2)

Class 11 Mathematics

The domain of the function f(x) = √(x − 3) is:

A (−∞, 3]

B [3, ∞)

C (3, ∞)

D (−∞, ∞)

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