Question # 1

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

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

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graph

Continuity

Discontinuity

Periods

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

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

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1

2

3

4

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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

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Circle

Hyperbola

Ellipse

parabola

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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2

-1

8

not defined

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

Which is not included in the domain of cos^-1x

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0

1

-1

2

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

If f(x) = x²- x then f(2) is

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4

6

2

0

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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-2

-1

1

2

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2

-2

none of these

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2

4

8

12

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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

f(x) = C is

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identity function

constant function

linear function

quadratic function

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

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0

1

-1

none of these

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3/4

r

v

None of these

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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0

-25

5

45

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π

2π

π/2

None of these

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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers

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