Question # 1

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The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

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3/4

r

v

None of these

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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

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Injective function

Bijective function

Surjective function

Implicit function

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

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1

2

Non periodic

None of these

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

If f(x) = x²then f(2) is

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-2

2

4

-4

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image

pre-image

constant

none of these

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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2

-1

8

not defined

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

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

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3/7

-2/5

-7/5

-7/3

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

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0

1

1/2

The period sin²θis

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π²

π

2π

π/2

In natural logarithm the base is

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1

0

10

e

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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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

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0

1

1/2

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quadratic function

constant function

linear function

exponential function

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quadratic function

constant function

trigonometric function

linear function

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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

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