Question # 1

If f(x) = x²then f(0) is

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0

1

2

none of these

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0

1

-1

none of these

The period sin²θis

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π²

π

2π

π/2

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0

1

-1

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

f(x) = C is

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identity function

constant function

linear function

quadratic function

In common logarithm the base is

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1

0

10

e

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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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0

1

8

∞

In natural logarithm the base is

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1

0

10

e

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sin h x

cos h x

tan h x

cot h x

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

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0

1

-1

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0

1

1/2

tan h x = _________

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If f(x) = x²then f(-2) is

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-2

2

4

-4

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2

4

8

12

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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0

1

2

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

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

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

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Injective function

Bijective function

Surjective function

Implicit function

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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3/4

r

v

None of these

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

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

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