Question # 1

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

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π

π/2

2π

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

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2

0

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If f(x) = x²then f(2) is

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-2

2

4

-4

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

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

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Images

Pre-images

ranges

Parameters

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

The period sin²θis

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π²

π

2π

π/2

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The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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images

pre-images

constants

none of these

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

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0

1

1/2

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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)

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

If f(x) = x²- x then f(-2) is

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4

6

2

0

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

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trigonometric function

algebraic function

exponential function

logarithmic function

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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

______________ 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

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3/4

r

v

None of these

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sin h x

cos h x

tan h x

cot h x

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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0

1

2

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πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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

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