Question # 1

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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Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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0

1

1/2

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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}

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

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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

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

If f(x) = x²then f(0) is

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0

1

2

none of these

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

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R

(-∞,0]

(-∞,1]

[0,∞)

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

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graph

Continuity

Discontinuity

Periods

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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2

-2

none of these

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

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1/8

1/2

1/4

1/6

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2

0

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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0

1

-1

none of these

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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 behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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

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Injective function

Bijective function

Surjective function

Implicit function

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 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

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers

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