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Functions, Tables, and Graphs

This topic deals with understanding how to graph the ordered pairs from a table of values, interpret the graphs to describe situations. Using function tables to generate ordered pairs is also covered.

Topic: Ordered Pairs, Tables, and Graphs

  • To plot the points on the graph, we need to find the coordinates of the point

  • The coordinates of a point are represented in the form of an ordered pair (x, y)

  • The x-coordinate refers to the position of the point on the x-axis and y-coordinate refers to the position of the point on the y-axis

Topic: Graphing Functions

  • A function operates according to a rule to produce exactly one output value for each input value

  • The input is the value substituted into the function. The output is the value that results from the substitution of a given input into the function

  • We can use a function table to organize and display the input and the output values of a function

  • To make a function table, substitute the various values of x and find the value of y for each

  • An ordered pair is a pair of numbers that represents a point on a graph. When writing an ordered pair, write the input value first and then the output value

Topic: Interpreting Graphs

  • A straight line with an upward slope represents an increase in the quantity with respect to the quantity at x-axis

  • A horizontal line with respect to time axis represents no change in the quantity or a static position

  • A straight line with a downward slope represents a decrease in the quantity with respect to the quantity at x-axis
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