Question # 1

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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0

-4

none of these

The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

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

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

If f(x) = x²then f(2) is

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-2

2

4

-4

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0

1

1/2

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If f(x)= x³ then f(-2) is

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-2

-4

-8

8

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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

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Injective function

Bijective function

Surjective function

Implicit function

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

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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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

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0

1

-1

none of these

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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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

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

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π

2π

π/2

None of these

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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

In natural logarithm the base is

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1

0

10

e

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