Question # 1

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Implicit

Explicit

Exponential

Logarithmic

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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Undefined

3a²

a²

0

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)

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4

Does not exist

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0

1

e

Does not exist

Which one is not an exponential function ?

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f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

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Parabola

Hyperbola

Ellipse

Circle

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

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

If the degree of a polynomial function is ------------, then it is called a linear function:

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0

1

2

3

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

Cosh² x - Sinh² x =

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1

-1

2

-2

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Constant

Implicit

Identity

Inverse

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f(x² + 1)

f(x)

f(x²)

If a function f is from a set X to a set Y, then set X is called the _______ of f:

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Domain

Range

Co-domain

None of these

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

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