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.

Round 1 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

Round 2 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:

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)}

Round 3 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

Round 4 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) 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

Round 5 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: Simplify each of the roots below: 7.652