Functions Math Question With Solutions

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Functions

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1 / 30

Determine the range of the real function: F(x) = | x |

(0, ∞)

[-1, 1]

[0, ∞)

[0, ∞]

2 / 30

Find the domain of the real-valued function: 1/ (x - 2)

R – {-2}

R+

R – {2}

3 / 30

f(x) = x² is –

Odd function

Even Function

4 / 30

If R is a relation from the set B to C, then which is true?

A ∈ A × B

R ⊆ A × B

R ≈ A × B

R ⊇ A × B

5 / 30

What is the domain of the function y = 2^x.

[0, ∞]

(0, ∞)

[-1, 1]

(-∞, ∞)

6 / 30

R = {(x, y): x ∈ A, y ∈ A and y = x + 1}, where A = {0, 1, 2, 3}. Find Range of R.

{0, 1, 2, 3}

{1, 2, 3}

{0, 1, 3}

{0, 1, 2}

7 / 30

Trigonometric functions are also known as -

Circular Functions

Surjective Functions

Inverse Functions

Injective Functions

8 / 30

The range of trigonometric function tangent is -

(−∞, ∞)

R - nπ

(0, ∞)

R - (2n + 1)π/2

9 / 30

A domain of the function is the -

None of these

Set of outputs

Set of inputs

Set of both input and output

10 / 30

f(x) = π is -

An Identical function

A constant function

11 / 30

Determine the range of the function y = Log₂x.

(-∞, ∞)

[0, ∞]

(0, ∞)

[-1, 1]

12 / 30

A function is always a relation but vice versa is not true.

Yes

13 / 30

Find the domain of the relation: S = {(2, 1), (2, 2), (3, 2), (4, 5)}

{1, 2, 3, 5}

{2, 3, 4,5}

{2, 3, 4}

{1, 2, 5}

14 / 30

One to one function is also called -

Injective Functions

Inverse Functions

Surjective Functions

Polynomial functions

15 / 30

Every function has -

Domain only

Both domain and range

Both domain and codomain

Codomain only

16 / 30

The domain of trigonometric function sine is -

(−∞, ∞)

[-1, 1]

(0, ∞)

(1, ∞)

17 / 30

The Range of trigonometric function sine is -

(1, ∞)

(−∞, ∞)

[-1, 1]

(0, ∞)

18 / 30

A function f : R → R given by f(x) = 7x + 5 is -

Constant Function

Identical Function

One-One Function

Onto Function

19 / 30

Is the following relation a function?
{(-2,3), (1, -5), (2, 3), (4, -1), (-1, -3), (-2, 4)}

Yes

20 / 30

The range of inverse trigonometric function sin^-1x is -

[-1, +1]

[-π/2, π/2]

(0, ∞)

[0, π]

21 / 30

A function f: R → R is defined is defined as y²= x² - 16. Find the range of the function f.

[0, ∞)

[-1, 1]

(−∞, ∞)

(1, ∞)

22 / 30

In a function, f(x), x represents -

None of these

Input

Both input and output

Output

23 / 30

sinx is –

An Even Function

An Odd Function

24 / 30

If each element in the domain of a function has a distinct image in the co-domain, the function is said to be -

Identical Function

One – One Function

Constant Function

Onto Function

25 / 30

The domain of trigonometric function cosine is -

(0, ∞)

(1, ∞)

(−∞, ∞)

[-1, 1]

26 / 30

Onto function is also called -

Surjective Functions

Injective Functions

Polynomial functions

Inverse Functions

27 / 30

A function is called an onto function if each element in the co-domain has at least one pre–image in the domain. Is it True?

Yes

28 / 30

If f(x) = x² - 4x + 3, then value of f(- 1) = ?

-8

-1

29 / 30

If x is an independent variable and y is a dependent variable. Then the function denoted by -

y = f^-1(x)

x = -f(y)

y = f(x)

f(x) = f(y)

30 / 30

Which of the following is the inverse function of f (x) = 3x - 6?

(y - 3)/6

3x - 6

(3y - 6)/2

(y - 6)/3

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