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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
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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: • (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)}
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