Section 3.1
Quiz 5.1
Question: Give the domain of the function
f (x)  =   (x + 3)(x – 3)
(x + 1)(x – 2)

 
    {x | x  <  –3  or  –1 < x < 2  or  3 < x}
{–1, 2}
{x | x ≠ –3, x ≠ 3}
{–3, –1, 2, 3}
{x | x ≠ –3, x ≠ –1, x ≠ 2, x ≠ 3}
{–3, 3}
{x | x ≠ –1, x ≠ 2}
 

Section 3.2
Quiz 5.2
Question: Find the average rate of change of f (x)  =  x2 + 2x + 1 between x  =  1 and x  =  3. If the result is not an integer, write it as a fraction in lowest terms.
 
     

Section 3.2 Question: Determine whether the function  f (x)  =  –x3 + 3  is even, odd, or neither.
 
Quiz 5.3   Even
Neither
Odd
 
  Variations: Determine whether the function  f (x)  =  –2x2 – 2  is even, odd, or neither.
 
    Odd
Even
Neither
 
    Determine whether the function  f (x)  =  –2x3 + 3x  is even, odd, or neither.
 
    Odd
Neither
Even
 

Section 3.3
Quiz 5.4
Question: Find the value of f (3) for the function
f (x)  =   
–2x + 2    if x ≤ 0
0  if 0 < x ≤ 2
x – 1    if x > 2

 
     
  Variations: Find the value of f (-1) for the function
f (x)  =   
2x – 2    if x < 0
0  if 0 ≤ x < 2
x + 1    if x ≥ 2

 
     
    Find the value of f (0) for the function
f (x)  =   
x + 1    if x < 0
0  if 0 ≤ x ≤ 2
x – 1    if x > 2

 
     
    Find the value of f (0) for the function
f (x)  =   
2x – 2    if x ≤ 0
0  if 0 < x < 2
x + 1    if x ≥ 2

 
     

Section 3.5 Question: Find the composite function f (g(x)) for f (x)  =  –2x – 1 and g(x)  =  –x – 3.
 
Quiz 5.5   2x + 7
2x + 3
2x – 2
2x – 4
2x + 5