ECAT (Pre-Eng) Mathematics Chapter 17 Functions and Limits

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• -1 B
• 8 C
• not defined D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 0 A
• 1 B
• 1/2 C
• 
  D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A 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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = x3-x/x2+1 is :

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

• images A
• pre-images B
• constants 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

The behavior of trigonometric function is called

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

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y 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

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

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

• 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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

f(x) = C is

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

• 0 A
• 1 B
• 
  C
• -1 D

• 0 A
• 1 B
• 
  C
• -1 D

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

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