Question # 1

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

The area of circle of unit radius =

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0

1

4

π

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

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sinx

cosx

tanx

secx

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0

1

8

∞

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0

1

-1

none of these

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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2

-2

none of these

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

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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quadratic function

constant function

linear function

exponential function

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}

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

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a = 1 , b = 1

a = 1 , b = 0

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

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) = sin x is:

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an odd function

an even function

an implicit function

an exponential 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)

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

If f(x) = x²then f(2) is

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-2

2

4

-4

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0

1

-1

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

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R

(-∞,0]

(-∞,1]

[0,∞)

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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

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dependent variable

independent variable

constant

none of these

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

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Circle

Hyperbola

Ellipse

parabola

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2

0

If f(x) = x²- x then f(-2) is

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4

6

2

0

The period sin²θis

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π²

π

2π

π/2

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

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Injective function

Bijective function

Surjective function

Implicit function

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If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

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

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