Question # 1

f(x) = C is

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identity function

constant function

linear function

quadratic function

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

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[0,1[

[0, 1]

]0, 1[

None of these

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2

0

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sin h x

cos h x

tan h x

cot h x

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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image

pre-image

constant

none of these

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2

-1

8

not defined

sec h x = ________

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

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Images

Pre-images

ranges

Parameters

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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quadratic function

constant function

trigonometric function

linear function

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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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1

0

-2

3

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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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If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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0

1

-1

none of these

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

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α

c

b

d

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