Question # 1

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

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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0

-2

1

4

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

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dependent variable

independent variable

constant

none of these

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1

0

-2

3

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

If f(x) = x²then f(2) is

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-2

2

4

-4

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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2

-1

8

not defined

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

If f(x) = x²-x then f(1) is

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0

1

2

3

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0

1

2

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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The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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0

-4

none of these

If f(x) = x²- x then f(-2) is

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4

6

2

0

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range of f

domain of f

both (a) and (b)

none of these

If f(x) = x²then f(0) is

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0

1

2

none of these

The periods of the function f(x) = x[x] is

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1

2

Non periodic

None of these

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

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

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