Question # 1

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

Every relation, which can be represented by a linear equation in two variables, represents a:

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Graph

Function

Cartesian product

Relation

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Constant

Implicit

Explicit

Inverse

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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Constant

Explicit

Exponential

Inverse

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

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0

1

e

Does not exist

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sin x

cos x

sinh x

cosh x

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

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R

R - {2}

R - {2, -2}

R - {-2}

If f(x) = |x|, f(x) is a:

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Constant function

Absolute function

Linear function

Quadratic function

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

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Line

Parabola

Ellipse

Hybperbola

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

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Even

Odd

One-one

Zero

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Undefined

3a²

a²

0

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Ics Part 2 Mathematics Chapter 1 Test Online MCQs With Answers

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