Question # 1

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0

1

1/2

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

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a = 1 , b = 1

a = 1 , b = 0

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

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1

0

-2

3

If f(x) = x²then f(0) is

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0

1

2

none of these

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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0

1

8

∞

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sin h x

cos h x

tan h x

cot h x

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

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f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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sin h x

cos h x

sec h x

cosec h x

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-2

-1

1

2

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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image

pre-image

constant

none of these

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

if f(x) = x³ -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

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2

6

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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

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α

c

b

d

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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