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

• 
  A
• 
  B
• 
  C
• 
  D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 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

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

• 0 A
• 1 B
• 
  C
• -1 D

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

• 3a2 A
• 2a2 B
• 2a C
• -7a D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

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

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

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

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

• 0 A
• 1 B
• -1 C
• 2 D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these 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

• -1 A
• 1 B
• 2 C
• -2 D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

Graph of the question x²+ y²= 4 is

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

• 0 A
• 1 B
• 
  C
• -1 D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

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

The period of the function f(x) = sin⁴x + cos⁴x is

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