Question # 1

Sin h^-1x = _________

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f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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0

-2

1

4

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

sin h x = ___________

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If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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

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

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4x+3

2x +3

4x +1

None of these

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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0

1

-1

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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

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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[0,1[

[0, 1]

]0, 1[

None of these

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

If f(x) = x²- x then f(2) is

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4

6

2

0

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

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