Question # 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

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

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

sin h x = ___________

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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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0

1

-1

none of these

Sin h^-1x = _________

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If f(x) = x²then f(0) is

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0

1

2

none of these

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

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dependent variable

independent variable

constant

none of these

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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

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0

1

1/2

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

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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1/8

1/2

1/4

1/6

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

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trigonometric function

algebraic function

exponential function

logarithmic 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

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π

2π

π/2

None of these

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

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

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1

0

-2

3

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

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a = 1 , b = 1

a = 1 , b = 0

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

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1

2

3

4

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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The period sin²θis

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π²

π

2π

π/2

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

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0

-2

1

4

If f(x) = x²-x then f(0) is

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0

1

2

3

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

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