Question # 1

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

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) = tan x then f(0) is

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0

1

1/2

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

If f(x) = cos x then f(0) is

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0

1

1/2

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If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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1/8

1/2

1/4

1/6

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Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to -1

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

If f(x) = x²-x then f(1) is

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0

1

2

3

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

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dependent variable

independent variable

constant

none of these

sin h x = ___________

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If f(x) = x²-x then f(0) is

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0

1

2

3

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

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0

-4

none of these

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2

0

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

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graph

Continuity

Discontinuity

Periods

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

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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2

-2

none of these

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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A function from X to X is denoted as

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f : X to Y

f : Y to Y

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

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Rational function

Trigonometric function

Logarithmic function

All are correct

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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