Question # 1

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

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trigonometric function

algebraic function

exponential function

logarithmic function

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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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0

-2

1

4

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0

3

9

-3

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

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

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0

-25

5

45

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The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

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

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0

1

1/2

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2

-2

none of these

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0

1

-1

In common logarithm the base is

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1

0

10

e

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

If f(x) = x²then f(-2) is

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-2

2

4

-4

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[0,1[

[0, 1]

]0, 1[

None of these

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

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4x+3

2x +3

4x +1

None of these

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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2

6

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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}

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

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α

c

b

d

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

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dependent variable

independent variable

constant

none of these

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

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0

1

-1

none of these

If f(x) = x²then f(0) is

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0

1

2

none of these

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

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