Question # 1

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quadratic function

constant function

trigonometric function

linear function

Sin h^-1x = _________

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2

-2

none of these

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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

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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 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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sin h x

cos h x

sec h x

cosec h x

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If f(x) = x²- x then f(2) is

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4

6

2

0

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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

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

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

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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0

1

1/2

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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Images

Pre-images

ranges

Parameters

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If f(x) = -x²then f(-2) is

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-2

2

-4

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 f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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}

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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0

1

-1

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sin h x

cos h x

tan h x

cot h x

f(x) = C is

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identity function

constant function

linear function

quadratic function

The area of circle of unit radius =

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0

1

4

π

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1/8

1/2

1/4

1/6

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

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