1. Family Feud Quiz Review
Algebra 2
7-1 to 7-4

2. 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.

3. Round 1
Operations on Functions

4. 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)

5. 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

6. Round 2
Compositions of Functions

7. 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:

8. 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)}

9. Round 3
Inverses

10. 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

11. 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 g-1(x) = 1/2x – 7/2
h(x) = x 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

12. Round 4
Radical Functions

13. Round 4
Tell the transformations for each graph (the directions it moves)
Graph the function below on the back of your board.

14. Round 4
Tell the transformations for each graph (the directions it moves)
Graph the function below on the back of your board.
Move right 1
Stretched vertically
Move left 1
Move up 3
Move up 2
Starting Point: (2, 0)
Graph goes up

15. Round 5
Nth Roots

16. Round 5 Evaluate the root below to 3 decimal places:
Simplify each of the roots below:

17. Round 5 Evaluate the root below to 3 decimal places:
Simplify each of the roots below:
7.652