Question # 1

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

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f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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

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R

R + 2

[R - (+2)

R-4

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2

1

5

0

If f(x) = x²-x then f(1) is

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0

1

2

3

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quadratic function

constant function

linear function

exponential function

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

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

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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

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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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

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

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0

1

8

∞

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

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dependent variable

independent variable

constant

none of these

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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-2

-1

1

2

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

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

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

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Images

Pre-images

ranges

Parameters

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

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