Question # 1

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

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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

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11

7

5

2

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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sin h x

cos h x

tan h x

cot h x

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

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3/7

-2/5

-7/5

-7/3

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

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

______________ 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

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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 domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

If f(x) = x²-x then f(1) is

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0

1

2

3

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0

1

2

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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0

1

-1

none of these

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

f(x) = C is

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identity function

constant function

linear function

quadratic function

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

If f(x) = x²then f(2) is

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-2

2

4

-4

sec h x = ________

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sin h x = ___________

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If f(x) = x²then f(0) is

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0

1

2

none of these

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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-2

-1

1

2

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

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2

0

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

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