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

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

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

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

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

• 2 A
• 4 B
• 8 C
• 12 D

f(x) = log x + 3 is a

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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 0 A
• 1 B
• 1/2 C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

f(x) = sin x + cos²x is

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

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• quadratic function A
• constant function B
• linear function C
• exponential function D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

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

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

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

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

• 1 A
• 0 B
• -2 C
• 3 D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 1 B
• 5 C
• 0 D

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D