Question # 1

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

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)

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

Cosh² x - Sinh² x =

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1

-1

2

-2

The range of the function f(x) = |x|

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cosh^-1x =

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x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

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0

1

e

Does not exist

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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1

2

3

4

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f(x² + 1)

f(x)

f(x²)

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4, -4

0

2, -2

0, 4

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

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Constant function

Absolute linear function

Linear function

Quadratic function

f (x) = x secx, then f(0)=

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-1

0

1

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