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Chapter 4 Pg. 234 – 239 Obj: Learn how to represent mathematical relationships using graphs. Content Standard: Prepares for F.IF.4 Pg. 240 – 245 Obj: Learn how to identify and represent patterns that describe linear functions. Content Standards: A.REI.10 and F.IF.4 Dependent Variable – changes in response to another variable Independent Variable – the variable that determines what happens to the other variable(s) Inputs – values of the independent variable Outputs – values of the dependent variable Function – a relationship that pairs each input value with exactly one output value Linear Function – a function whose graph is a nonvertical line or part of a nonvertical line Pg. 246 – 251 Obj: Learn how to identify and represent patterns that describe nonlinear functions. Content Standards: A.REI.10, and F.IF.4 Nonlinear Function – a function whose graph is not a line or part of a line Pg. 253 – 259 Obj: Learn how to graph equations that represent functions. Content Standards: F.IF.5, N.Q.1, and A.REI.10 Continuous Graph – a graph that is unbroken Discrete Graph – composed of distinct isolated points Graphing a Function Rule Use a table of values Input values for x and solve for y Graph the points and connect Pg. 262 – 267 Obj: Learn how to write equations that represent functions. Content Standards: N.Q.2, A.SSE.1.a, and A.CED.2 Pg. 268 – 273 Obj: Learn how to determine whether a relation is a function, find domain and range, and use function notation. Content Standards: F.IF.1 and F.IF.2 Relation – a pairing of numbers Domain – the x values of a function Range – the y values of a function Vertical Line Test – if any vertical line passes through more than one point of the graph, then for some domain value there is more than one range value. So the relation is not a function. Function Notation – f(x) = -3x + 1 Pg. 274 – 281 Obj: Learn how to identify and extend patterns in sequences and represent arithmetic sequences using function notation. Content Standards: F.IF.3, A.SSE.1.a, A.SSE.1.b, F.BF.1.a, F.BF.2, and F.LE.2 Sequence - an ordered list of numbers that often form a pattern Term of a Sequence – each number in the list Arithmetic Sequence – the difference between consecutive terms is constant Common Difference – the difference between consecutive terms Recursive Formula – a function rule that relates each term of a sequence after the first to the ones before it Explicit Formula – a function rule that relates each term of a sequence to the term number A(n) A(1) (n 1)d n – term number d – common difference