Family Feud Quiz ReviewAlgebra 27-1 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 1Operations 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 2Compositions 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)} andg(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)} andg(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 3Inverses

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 4Radical 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 1Stretched vertically

Move left 1Move up 3

Move up 2

Starting Point: (2, 0)Graph goes up

Round 5Nth 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