Question # 1

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

sec h x = ________

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2

-2

none of these

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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-2

-1

1

2

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3/4

r

v

None of these

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

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f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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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

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0

1

1/2

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

If f(x) = x²- x then f(-2) is

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4

6

2

0

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

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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

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

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The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

If f(x) = x²then f(-2) is

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-2

2

4

-4

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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If f(x) = (-x)²then f(-2) is

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0

2

-4

4

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If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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2

6

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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

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