Question # 1

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

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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R/[0,4]

R/(0,4)

(0,4)

[0,4]

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

If f(x) = x²then f(0) is

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0

1

2

none of these

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

In natural logarithm the base is

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1

0

10

e

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quadratic function

constant function

trigonometric function

linear function

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0

-2

1

4

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

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a = 1 , b = 1

a = 1 , b = 0

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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

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0

1

1/2

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The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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If f(x) = (-x)²then f(-2) is

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0

2

-4

4

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

A function from X to X is denoted as

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f : X to Y

f : Y to Y

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

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2

6

tan h x = _________

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If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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

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dependent variable

independent variable

constant

none of these

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0

1

1/2

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

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If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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