Question # 1

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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-1

1

2

-2

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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

In natural logarithm the base is

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1

0

10

e

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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-2

-1

1

2

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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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

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image

pre-image

constant

none of these

______________ 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

If f(x) = x²then f(-2) is

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-2

2

4

-4

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

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quadratic function

constant function

linear function

exponential function

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

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 range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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

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2

6

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

If f(x) = x²- x then f(-2) is

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4

6

2

0

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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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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