Question # 1

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

if f(x) = x³ -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

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sin h x

cos h x

tan h x

cot h x

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If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

If f(x) = x²-x then f(0) is

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0

1

2

3

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Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to -1

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0

1

2

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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sin h x

cos h x

tan h x

cot h x

The area of circle of unit radius =

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0

1

4

π

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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2

4

8

12

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers

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