Question # 1

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

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a = 1 , b = 1

a = 1 , b = 0

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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3/4

r

v

None of these

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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π

2π

π/2

None of these

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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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images

pre-images

constants

none of these

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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2

1

5

0

Sin h^-1x = _________

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f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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2

4

8

12

In common logarithm the base is

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1

0

10

e

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

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1

2

3

4

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

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

f(x) = C is

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identity function

constant function

linear function

quadratic function

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1

0

-2

3

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πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

In natural logarithm the base is

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1

0

10

e

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

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

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

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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

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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