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Relations and Functions Linear Equations Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions No fractions! No decimals!

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Transformation of f(x) Translation: Vertical (k > 0) Translation: Horizontal (h > 0) Stretch or compression: Vertical by a factor of a Reflection Up k units Down k units Right h units Left h units Stretch: Compression: Across x-axis Across y-axis

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Absolute Value Function f(x) = |x| Vertex Axis of symmetry x = 0 Graphing 1.Graph the vertex 2.Graph right branch 3.Use symmetry to graph left branch Vertex: (h, k) Slope of right branch: a Equation from graph 1.Identify the vertex 2.Find the slope of the right branch Pg. 127 #1-20, 23-26, 31-37

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Functions, Equations and Graphs FunctionsLinear EquationsTransformationsAbsolute Values More Linear Equations 10 20 30 40 50

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Is the relation a function? Answer A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} C.

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Is the relation a function? A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} C. No Yes

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What is the domain and range? Answer A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)}

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What is the domain and range? A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} Domain:{1, 2, 3} Range: {2, 3, 4, 5} Domain:{1, 2, 3} Range: {5}

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Find the values Answer

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Find the values

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Answer

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Find the slope between the points: Answer

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Find the slope between the points:

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Write and equation in slope-intercept form: Answer

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Write and equation in slope-intercept form:

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Write an equation in point-slope form: Answer

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Write an equation in point-slope form:

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Write an equation in standard form Answer

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Write an equation in standard form

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Write an equation in point-slope form for the graph: Answer

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Write an equation in point-slope form for the graph:

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Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Answer Function notation: Description:

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Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description:Right 3 Up 2

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Function notation: Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Description: Stretch by 2 Down 2

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Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Stretch by 2 Down 2

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Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description:

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Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Compress by Left 2 Down 3

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Answer Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Reflect across x-axis Stretch by 2 Right 1 Up 4

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Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Reflect across x-axis Stretch by 2 Right 1 Up 4

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Answer Describe transformations of f(x) that produces g(x).

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Reflect across x-axis; compress by ; right 3; up 4

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Answer

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Write equation for the graph Answer

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Write equation for the graph

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Answer

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Write an equation of line in standard form that is parallel to the given line and goes through the given point. Answer

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Write an equation of line in standard form that is parallel to the given line and goes through the given point.

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Answer Write an equation of line in standard form that is perpendicular to the given line and goes through the given point.

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Graph the equation: Answer

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Graph the equation:

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Answer

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Graph the equation:

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Answer Graph the equation:

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