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

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) 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

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters D

f(x) = 2x²+ 3x + 5 is a

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

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

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

• 0 A
• -4 B
• 
  C
• none of these D

• 0 A
• 1 B
• 2 C
• 
  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) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

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

• 1 A
• 2 B
• 3 C
• 4 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

• 0 A
• 1 B
• 
  C
• -1 D

The trigonometric function are continuous whenever

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

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

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

• 0 A
• 1 B
• 8 C
• ∞ D

• 0 A
• 1 B
• 2 C
• 1/2 D