Question # 1

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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2

4

8

12

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0

1

-1

none of these

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0

1

-1

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f(x) = x²

f(x²) = x

f(x) = x

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

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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

Sin h^-1x = _________

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f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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0

1

-1

none of these

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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Which is not included in the domain of cos^-1x

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0

1

-1

2

sec h x = ________

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0

-2

1

4

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2

6

f(x) = C is

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identity function

constant function

linear function

quadratic function

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1

0

-2

3

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

______________ 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

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

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If f(x) = x²then f(2) is

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-2

2

4

-4

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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images

pre-images

constants

none of these

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sin h x

cos h x

sec h x

cosec h x

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

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