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

• -2 A
• -1 B
• 1 C
• 2 D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function 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

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

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

• 0 A
• 3 B
• 9 C
• -3 D

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

• -1 A
• 1 B
• 2 C
• -2 D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

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

• 0 A
• -4 B
• 
  C
• none of these D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 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

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

• 
  A
• 
  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

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

• 0 A
• -25 B
• 5 C
• 45 D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

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

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

f(x) = C is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• 2 B
• 3 C
• 4 D

A function from X to Y is written as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y 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 function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• 0 A
• 1 B
• -1 C
• 2 D

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

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