Question # 1

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If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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3/4

r

v

None of these

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2

1

5

0

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

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-2

-1

1

2

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

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π

π/2

2π

None of these

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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Sin h^-1x = _________

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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

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

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2

6

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

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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2

-1

8

not defined

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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π

2π

π/2

None of these

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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

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Injective function

Bijective function

Surjective function

Implicit function

______________ 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

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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0

1

-1

tan h x = _________

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A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to 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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