Question # 1

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

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trigonometric function

algebraic function

exponential function

logarithmic function

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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0

1

1/2

A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

f(x) = C is

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identity function

constant function

linear function

quadratic function

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

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3/7

-2/5

-7/5

-7/3

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) is

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7

-16

16

-9

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images

pre-images

constants

none of these

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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

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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-1

1

2

-2

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2

-2

none of these

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

If f(x) = x²- x then f(2) is

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4

6

2

0

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

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}

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

4

8

12

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[0,1[

[0, 1]

]0, 1[

None of these

If f(x) = x²then f(0) is

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0

1

2

none of these

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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

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The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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

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Injective function

Bijective function

Surjective function

Implicit function

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

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