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

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

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

An even function is symmetric about the line

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

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

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

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

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 0 A
• 1 B
• 2 C
• 1/2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• none of these D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 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

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

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

• y = f(x) A
• x = f(y) B
• y = x 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

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

• 0 A
• 1 B
• 1/2 C
• 
  D

A function from X to Y is written as

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

f(x) = 2x²+ 3x + 5 is a

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

• 0 A
• 1 B
• 8 C
• ∞ D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

f(x) = x is

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

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

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

• 3/4 A
• r B
• v C
• None of these D