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Lecture General mathematics: Lecture 5 - Ms. Fehmida Haroon

Lecture provides knowledge of the limit of a function and one-sided limits. This chapter presents the following content: Limit of a function: An intuitive approach, limit theorems, one-sided limits. | General Mathematics ADE 101 Unit 2 LECTURE No. 11 Variables and Coordinates Today’s Objectives Example Sitting Arrangement of a class 2 4 8 12 Knowledge Test 6 10 Ordered Pair 51 52 54 57 Coordinate Graphs 10 Example Coordinate Graphs Every point in the plane can be described by an ordered pair of values called coordinates. We refer to these ordered pairs as (x, y), (x-coordinate, y-coordinate). 14 Coordinate Graphs A coordinate graph is made up of two perpendicular number lines, called “axes”. The horizontal number line is the x-axis and the vertical number line is the y-axis. 15 Coordinate Graphs 16 ORDER PAIRS – a pair of numbers used to locate a point on a coordinate plane. COORDINATE PLANE – a plane formed by the intersection of a horizontal number line called the x-axis and a vertical line called the y-axis. X-AXIS – the horizontal axis on a coordinate plane. Y-AXIS – the vertical axis on a coordinate plane. X-COORDINATE – the first number in an ordered pair; it tells the units to move right or left from the origin. Y-COORDINATE – the second number in an ordered pair; it tells the units to move up or down from the origin Origin – the point where the x-axis and the y-axis intersect on the coordinate plane. Graph of an Equation – the set of all ordered pairs that are solutions of the equation. Dependent Variable – the y-coordinate of an equation, which depends on what the x-value will be. (in the equation y = 2x, the y-value depends on what the value of x is.) Independent Variable – the x-coordinate of an equation, which when substituted will determine what the y-value will be. (in the equation y = 2x, the value of x will determine what the value of y equals) Rules for Plotting Ordered Pairs Coordinate Graphs Always begin at the origin, the intersection of the two axes. The x-coordinate, is the first number of the pair and gives the direction of left or right along the x-axis or the horizontal number line. The y-coordinate, is the second number of the pair and | General Mathematics ADE 101 Unit 2 LECTURE No. 11 Variables and Coordinates Today’s Objectives Example Sitting Arrangement of a class 2 4 8 12 Knowledge Test 6 10 Ordered Pair 51 52 54 57 Coordinate Graphs 10 Example Coordinate Graphs Every point in the plane can be described by an ordered pair of values called coordinates. We refer to these ordered pairs as (x, y), (x-coordinate, y-coordinate). 14 Coordinate Graphs A coordinate graph is made up of two perpendicular number lines, called “axes”. The horizontal number line is the x-axis and the vertical number line is the y-axis. 15 Coordinate Graphs 16 ORDER PAIRS – a pair of numbers used to locate a point on a coordinate plane. COORDINATE PLANE – a plane formed by the intersection of a horizontal number line called the x-axis and a vertical line called the y-axis. X-AXIS – the horizontal axis on a coordinate plane. Y-AXIS – the vertical axis on a coordinate plane. X-COORDINATE – the first number in an ordered pair; it tells the units