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Linear Equations. Relations and Functions. Slope. Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions. Point-slope form :. Slope-intercept Form. Standard Form. No fractions! No decimals!. Transformation of f ( x ). Translation: Horizontal ( h > 0 ).
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Linear Equations Relations and Functions Slope Vocabulary: Relation Domain Range Function Function Notation Evaluating Functions Point-slope form: Slope-intercept Form Standard Form. No fractions!No decimals!
Transformation of f(x) Translation: Horizontal (h> 0) Translation: Vertical (k > 0) Right h units Up k units Left h units Down k units Reflection Stretch or compression: Vertical by a factor of a Across x-axis Stretch: Across y-axis Compression:
Absolute Value Function f(x) = |x| Vertex: (h, k) Slope of right branch: ±a • Graphing • Graph the vertex • Graph right branch • Use symmetry to graph left branch • Equation from graph • Identify the vertex • Find the slope of the right branch Pg. 127 #1-20, 23-26, 31-37 Vertex Axis of symmetryx = 0
Is the relation a function? C. A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} Answer
Is the relation a function? C. A. {(1, 2); (2,3); (1,4); (3,5)} Yes No B. {(1, 5); (2,5); (3,5)} Yes
What is the domain and range? A. {(1, 2); (2,3); (1,4); (3,5)} B. {(1, 5); (2,5); (3,5)} Answer
What is the domain and range? A. {(1, 2); (2,3); (1,4); (3,5)} Domain:{1, 2, 3} Range: {2, 3, 4, 5} B. {(1, 5); (2,5); (3,5)} Domain:{1, 2, 3} Range: {5}
Find the values Answer
Find the value of Answer
Find the value of Answer
Find the slope between the points: and and Answer
Write and equation in slope-intercept form: and y-intercept and Answer
Write and equation in slope-intercept form: and y-intercept and
Write an equation in point-slope form: and and Answer
Write an equation in standard form and and Answer
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Answer
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Right 3 Up 2
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Stretch by 2 Down 2 Answer
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: 2 Description: Stretch by 2 Down 2
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Answer
Describe the transformation or write the transformation in function, then sketch a graph of the transformation. Function notation: Description: Compress by ½ Left 2 Down 3
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 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
Describe transformations of f(x) that produces g(x). Reflect across x-axis; compress by ½; right 3; up 4
Graph Answer
Graph Equation: Vertex: (0, 0) Slope of right arm: 1
Graph Answer
Graph Equation: Vertex: (−3, −4) Slope of right arm: 2
Write equation for the graph Answer
Write equation for the graph Vertex: (−1, 2) Slope of right arm: Equation:
Graph Answer
Graph Equation: Vertex: (-2, 3) Slope of right arm: − ½
Graph Answer
Graph Equation: Vertex: (3, −3) Slope of right arm: 2
Write an equation of line in standard form that is parallel to the given line and goes through the given point. Point: Answer
Write an equation of line in standard form that is parallel to the given line and goes through the given point. Point:
Write an equation of line in standard form that is perpendicular to the given line and goes through the given point. Point: Answer
Write an equation of line in standard form that is perpendicular to the given line and goes through the given point. Point:
Graph the equation: Answer