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

• sin h x A
• cos h x B
• tan h x C
• cot h x D

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

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

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

• 0 A
• 1 B
• -1 C
• 2 D

A function from X to Y is written as

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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

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

• 2 A
• 
  B
• 
  C
• 0 D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

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

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

• 1 A
• 2 B
• 3 C
• 4 D

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

f(x) = 3x/x² + 1 is:

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

• -1 A
• 1 B
• 2 C
• -2 D

• 2 A
• 6 B
• 
  C
• 
  D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• 2π B
• π/2 C
• None of these D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

f(x) = sin x + cos²x is

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

• 0 A
• 1 B
• 8 C
• ∞ D

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

• 2 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

• 2 A
• -1 B
• 8 C
• not defined 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

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D