ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

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

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

• -1 A
• 1 B
• 2 C
• -2 D

• 0 A
• 3 B
• 9 C
• -3 D

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• 11 A
• 7 B
• 5 C
• 2 D

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

• π A
• π/2 B
• 2π 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

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

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness 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

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

The trigonometric function are continuous whenever

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

• images A
• pre-images B
• constants C
• none of these D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

• 1 A
• 2 B
• 3 C
• 4 D

• -2 A
• -1 B
• 1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 0 A
• 1 B
• -1 C
• 2 D

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) 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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = 1 is

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

• image A
• pre-image B
• constant C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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