ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

• One-to-one and onto A
• One-to-one but not on to B
• Onto but not one-to-one C
• Neither one-to-one nor onto D

The domain of f(x) = log x is

• [0,∞] A
• (0,∞) B
• [0,∞[ C
• [∞,∞] D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = 2x²+ 3x + 5 is a

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

f(x) = x3-x/x2+1 is :

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

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

• Images A
• Pre-images B
• ranges C
• Parameters D

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

• 0 A
• 1 B
• -1 C
• 2 D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 3/4 A
• r B
• v C
• None of these D

• 0 A
• 1 B
• 8 C
• ∞ D

• 
  A
• 
  B
• 
  C
• 
  D

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

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

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

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

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

• 0 A
• 3 B
• 9 C
• -3 D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

• -2 A
• -1 B
• 1 C
• 2 D