Question # 1

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

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sin h x

cos h x

sec h x

cosec h x

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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

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Circle

Hyperbola

Ellipse

parabola

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

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

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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quadratic function

constant function

trigonometric function

linear function

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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2

4

8

12

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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Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

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

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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0

1

none of these

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

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dependent variable

independent variable

constant

none of these

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0

1

-1

none of these

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sin h x

cos h x

tan h x

cot h x

The periods of the function f(x) = x[x] is

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1

2

Non periodic

None of these

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0

-4

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

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The period sin²θis

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π²

π

2π

π/2

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range of f

domain of f

both (a) and (b)

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

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