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

f(x) = log x + 3 is a

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

• 0 A
• 1 B
• 2 C
• 
  D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

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

• 0 A
• 1 B
• f(x) C
• -f(x) 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

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

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

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

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

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

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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

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

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

• 0 A
• -4 B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 3/4 A
• r B
• v C
• None of these D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

f(x) = sin x + cos²x is

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

• 0 A
• 1 B
• 1/2 C
• 
  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

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

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

f(x) = C is

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

• 0 A
• 1 B
• 
  C
• -1 D