The coordinate plane
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The coordinate plane consists of a horizontal x-axis and vertical y-axis that intersect at the origin point (0,0). It is divided into four quadrants based on whether the x- and y-values are positive or negative. Points on the plane are represented as coordinate pairs (x,y) and can be plotted by locating their x- and y-values on the appropriate axes. The document provides examples of plotting several points on a sample coordinate plane.
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The document discusses the Cartesian coordinate plane and functions. It defines the Cartesian plane as being formed by two perpendicular number lines called the x-axis and y-axis that intersect at the origin (0,0). It describes how each point on the plane is associated with an ordered pair (x,y) denoting its coordinates and how the plane is divided into four quadrants. It then demonstrates how to plot various points on the plane by starting at the origin and moving right or left along the x-axis and up or down along the y-axis. Finally, it discusses relations and functions, defining a function as a relation where each x-value is mapped to only one y-value.
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The document discusses key concepts about the coordinate plane, including:
1) Plotting points on the coordinate plane using ordered pairs like (1,1) and identifying which quadrant points fall into.
2) The coordinate plane is divided into four quadrants based on whether the x and y values are positive or negative.
3) Transformations like translations can change the position of shapes on the coordinate plane by sliding or shifting them along the x- or y-axis.
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The document discusses graphing ordered pairs on a coordinate plane. It defines key terms like coordinate, plane, axes, quadrants, and ordered pairs. It explains that the x-axis is horizontal, the y-axis is vertical, and they intersect at the origin (0,0). Ordered pairs use the format (x,y) to locate points by giving the x-coordinate first and y-coordinate second. Several examples are given to demonstrate graphing points in the quadrants of the coordinate plane.
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The document discusses key concepts about the coordinate plane, including:
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The document discusses graphing ordered pairs on a coordinate plane. It defines key terms like coordinate, plane, axes, quadrants, and ordered pairs. It explains that the x-axis is horizontal, the y-axis is vertical, and they intersect at the origin (0,0). Ordered pairs use the format (x,y) to locate points by giving the x-coordinate first and y-coordinate second. Several examples are given to demonstrate graphing points in the quadrants of the coordinate plane.
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(2) Check if the curve passes through the origin by looking for constant terms.
(3) Find the points of intersection with the x-axis and y-axis by setting y=0 and x=0.
(4) Identify any special points where the tangent is parallel to the x-axis or y-axis.
(5) Determine the region bounded by the minimum and maximum x-values
Similar to The coordinate plane (18)
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- 2. The Coordinate Plane 1. _________ 2. _________ 3. _______ 4. _________5. ________ 6. ________7. _______ Test your knowledge...
- 3. The Coordinate PlaneThe X & Y Axis The x-axis & y-axis meet at a point called the OriginThe y-axis is the vertical axis The x-axis is the vertical axis
- 4. The Coordinate Plane The Quadrants Positive x values Positiveyvalues Negative x values Negativeyvalues All x & y values are positive All x & y values are negative positive x values & negative y values negative x values & positive y values (+,+)(-,+) (-,-) (+,-)
- 5. The Coordinate Plane (+,-)(-,-) (+,+)(-,+) Points can exist in any of the four quadrants, on either axis, or at the origin points are named as a coordinate pair. (x,y) (5,3) (-3,0) (8,-2)
- 6. The Coordinate Plane Plot the following points a (5,7) b (-9,0) c (-4,-3) d (0,2) e (7,-1) f (0,0) g (-6,4)
- 7. The Coordinate Plane a (5,7) b (-9,0) c (-4,-3) d (0,2) e (7,-1) f (0,0) g (-6,4) A B C G E D F