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

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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image

pre-image

constant

none of these

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f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

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0

-4

none of these

In natural logarithm the base is

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1

0

10

e

If f(x) = x²then f(0) is

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0

1

2

none of these

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

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0

1

1/2

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

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a = 1 , b = 1

a = 1 , b = 0

______________ 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

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

The period sin²θis

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π²

π

2π

π/2

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

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

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dependent variable

independent variable

constant

none of these

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sin h x

cos h x

tan h x

cot h x

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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

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

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0

3

9

-3

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

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2

6

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quadratic function

constant function

trigonometric function

linear function

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2

-2

none of these

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