Question # 1

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

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sin h x

cos h x

sec h x

cosec h x

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

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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R

R + 2

[R - (+2)

R-4

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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range of f

domain of f

both (a) and (b)

none of these

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

The area of circle of unit radius =

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0

1

4

π

If f(x) = x²- x then f(-2) is

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4

6

2

0

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

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0

1

1/2

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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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

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

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0

1

1/2

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

If f(x) = x²then f(2) is

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-2

2

4

-4

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

If f(x) = x²-x then f(0) is

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0

1

2

3

______________ 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

sin h x = ___________

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

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Circle

Hyperbola

Ellipse

parabola

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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0

1

-1

none of these

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

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

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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sin h x

cos h x

tan h x

cot h x

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

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