Family Feud Quiz Review
Algebra 2
7-1 to 7-4
The RULES
• By now, you should be in teams of 4.
▫ Each team should have one sheet of paper or a couple
of dry-erase boards on which to record their answers
• For each category (concept) there will be four or five
separate questions
• As a team, these are your responsibilities
▫ In the time provided, solve all the problems in each
category you can
▫ Write your answers on your paper
▫ Check your answers when covered after the category.
▫ Receive a point for each problem correctly solved.
Operations on Functions
Round 1
• Given f(x) = x2 + 7x – 1 and g(x) = 2x – 1, find
the following:
• (f + g)(x)
• (f – g)(x)
• (f · g)(x)
• (f ÷ g)(x)
• (f ◦ g)(x)
Round 1
• Given f(x) = x2 + 7x – 1 and g(x) = 2x – 1, find
the following:
• (f + g)(x) x2 + 9x – 2
• (f – g)(x) x2 + 5x
• (f · g)(x) 2x3 + 13x2 – 9x + 1
• (f ÷ g)(x)
• (f ◦ g)(x) 4x2 + 10x – 7
Compositions of Functions
Round 2
• Given that f(x) = 5x – 3 and g(x) = x2 + 9, find:
• (f ◦ g)(x)
• (g ◦ f)(x)
• Given f(x) = {(1, -4), (3, 2), (5, -2)} and
g(x) = {(-2, 1), (-4, 5), and (2, 3)}, find:
• (f ◦ g)(x)
• (g ◦ f)(x)
Round 2
• Given that f(x) = 5x – 3 and g(x) = x2 + 9, find:
• (f ◦ g)(x) 5x2 + 42
• (g ◦ f)(x) 25x2 – 30x + 18
• Given f(x) = {(1, -4), (3, 2), (5, -2)} and
g(x) = {(-2, 1), (-4, 5), and (2, 3)}, find:
• (f ◦ g)(x) = {(-2, -4), (-4, -2), (2, 2)}
• (g ◦ f)(x) = {(1, 5), (3, 3), (5, 1)}
Inverses
Round 3
•
•
•
•
•
Find the inverse of each function below
f(x) = {(2, -5), (4, 1), (-3, 3)}
g(x) = 2x + 7
h(x) = x2 + 5
d(x) = ⅓x – 2
• Tell whether the two functions below are
inverses (yes or no)
• f(x) = 8x – 3
• g(x) = ⅛x + 24
Round 3
•
•
•
•
•
Find the inverse of each function below
f(x) = {(2, -5), (4, 1), (-3, 3)} {(-5, 2), (1, 4), (3, -3)}
g(x) = 2x + 7 g-1(x) = 1/2x – 7/2
h(x) = x2 + 5 h-1 (x) =
d(x) = ⅓x – 2 d-1 (x) = 3x + 6
• Tell whether the two functions below are inverses
(yes or no) NO
• f(x) = 8x – 3
• g(x) = ⅛x + 24
Radical Functions
Round 4
• Tell the transformations for each graph (the
directions it moves)
• Graph the function below on the back of your
board.
Round 4
• Tell the transformations for each graph (the
directions it moves)
Move right 1
Stretched vertically
Move left 1
Move up 3
Move up 2
• Graph the function below on the back of your
board.
Starting Point: (2, 0)
Graph goes up
Nth Roots
Round 5
• Evaluate the root below to 3 decimal places:
• Simplify each of the roots below:
Round 5
• Evaluate the root below to 3 decimal places:
7.652
• Simplify each of the roots below: