Question # 1

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

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a = 1 , b = 1

a = 1 , b = 0

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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f(x) = x²

f(x²) = x

f(x) = x

none of these

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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0

1

2

1/2

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0

1

-1

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 -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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0

1

8

∞

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image

pre-image

constant

none of these

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

A function from X to Y is written as

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f : X to Y

f : Y to Y

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

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R

(-∞,0]

(-∞,1]

[0,∞)

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1

0

-2

3

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0

1

-1

none of these

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0

1

1/2

In natural logarithm the base is

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1

0

10

e

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2

-1

8

not defined

If f(x) = x²then f(-2) is

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-2

2

4

-4

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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

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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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

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

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