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

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 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

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

• 0 A
• 1 B
• -1 C
• 2 D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• 0 A
• 1 B
• 
  C
• none of these D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

• 0 A
• -2 B
• 1 C
• 4 D

• 0 A
• 3 B
• 9 C
• -3 D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

A function from X to Y is written as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

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

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

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

• 2 A
• 
  B
• -2 C
• none of these D

• 0 A
• 1 B
• 1/2 C
• 
  D

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

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

• 0 A
• 1 B
• -1 C
• none of these D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

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

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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

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

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

• 0 A
• 1 B
• 
  C
• -1 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

• 2 A
• 
  B
• 
  C
• 0 D

• 1 A
• 0 B
• -2 C
• 3 D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D