Question # 1

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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0

1

8

∞

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sin h x

cos h x

tan h x

cot h x

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

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

xy= 2 is:

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a constant function

an identity function

an improper 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 behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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

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Circle

Hyperbola

Ellipse

parabola

sec h x = ________

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

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R

R + 2

[R - (+2)

R-4

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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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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

f(x) = C is

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identity function

constant function

linear function

quadratic function

The area of circle of unit radius =

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0

1

4

π

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0

3

9

-3

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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

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image

pre-image

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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0

1

-1

none of these

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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0

1

2

1/2

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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

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