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Algebra 2 Name ______________________________ Review Unit 1: Function Forecast Class Period _______________ Test Date: ______________ 1. Given the relation: {(-6, 3), (1, 5), (3, 0), (-2, 1), (-2, 4)} D: {-6, -2, 1, 3} R: {0, 1, 3, 4, 5} a) State the domain and range of the relation. Not a function because the x-value of -2 b) Determine whether the relation is a function and explain. repeats. c) Create a mapping diagram and a graph of the relation Mapping: Graph: 0 1 3 4 5 -6 -2 1 3 2. Given the graph below a) State the domain and range of the relation (use both interval AND set notation). b) Determine whether the graph represents only a relation or a function and explain. y Domain: -5 < x ≤ 5 or (-5, 5] Range: -3 ≤ y ≤ 3 or [-3, 3] Function or Relation: Function x Explain: A vertical line crosses graph in only one place at a time Identify each of the following functions as discrete or continuous. 3. The distance a runner has covered in a marathon of 26 miles. 4. The number of coins in a wishing well on any given day. Continuous Discrete 5. Given f ( x) a. f(6) = 4 2 x 4 , find b. f(-1.5) = 1 6. Given f ( x) 7 x 5 , find a. f(-2) = 19 b. f(3) = 16 7. Describe the transformation(s) that have occurred to the graph of the parent function f ( x) | x | in the following: f ( x) | x 5 | 1 The graph shifts to the right 5 units and then down 1 unit. Given the parent function f ( x) | x | and a verbal description, write an equation for the following: reflected across the x-axis, vertically compressed by a factor of ½, right 3 units, and up 4 units 8. Graph the function indicated on the grid below. f ( x) 2 | x 3 | 1 1 𝑦 = − |𝑥 − 3| + 4 2 For each of the given parent functions, give its name, sketch a graph, and name the domain and range in both set and interval notation. 9. Quadratic 10. exponential 11. radical 12. rational 13. absolute value