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

• 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 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

• 2 A
• 6 B
• 
  C
• 
  D

f(x) = x³is:

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

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

f(x) = 1 is

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

f(x) = 3x⁴ -2x² + 7 is:

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

• 0 A
• -2 B
• 1 C
• 4 D

• 2 A
• 
  B
• -2 C
• none of these D

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

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

Which is an explicit function

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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• -1 A
• 1 B
• 2 C
• -2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 3/4 A
• r B
• v C
• None of these D

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

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

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

• 2 A
• -1 B
• 8 C
• not defined D

The domain of f(x) = log x is

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

f(x) = log x + 3 is a

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 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