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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 2 A
• -1 B
• 8 C
• not defined D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

• 1 A
• 2 B
• 3 C
• 4 D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

f(x) = x is

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

• 
  A
• 
  B
• 
  C
• 
  D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

The trigonometric function are continuous whenever

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

f(x) = 2x²+ 3x + 5 is a

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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

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

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

• 2 A
• 6 B
• 
  C
• 
  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

cos h² x + sin h² x

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

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

Inverse of the function y-10x is

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

If f(x) = x + 1 then f(z²-1) is

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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 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

• 
  A
• 
  B
• 
  C
• 
  D

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