Question # 1

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

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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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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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

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

The period sin²θis

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π²

π

2π

π/2

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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0

1

1/2

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0

-4

none of these

If f(x) = cos x then f(0) is

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0

1

1/2

If f(x) = x²- x then f(-2) is

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4

6

2

0

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0

1

8

∞

sin h x = ___________

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0

1

-1

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

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11

7

5

2

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

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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