Question # 1

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

The period sin²θis

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π²

π

2π

π/2

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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2

0

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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

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1

2

3

4

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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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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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π

2π

π/2

None of these

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

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If f(x) = x²then f(0) is

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0

1

2

none of these

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

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sinx

cosx

tanx

secx

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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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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0

1

1/2

If f(x) = x²then f(-2) is

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-2

2

4

-4

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

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R

R + 2

[R - (+2)

R-4

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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}

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sec h x = ________

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

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