Question # 1

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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In common logarithm the base is

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1

0

10

e

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

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

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sin h x

cos h x

tan h x

cot h x

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0

1

-1

none of these

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

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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2

6

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

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

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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2

0

______________ 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

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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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

-1

none of these

If f(x) = x²then f(0) is

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0

1

2

none of these

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0

1

-1

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

The period sin²θis

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π²

π

2π

π/2

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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

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[0,1[

[0, 1]

]0, 1[

None of these

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

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