4.2.1 Graphing Functions (continued) Example 3 Reading Solutions for Graphs
The graph of an equation is a visual representation of its solutions, because each point on the graph is a solution to that equation. A function’s graph can be used to evaluate the function for a given x -value, as demonstrated in Example 3.
Example 4 Graphing Linear Functions
To graph a function using a given equation, find at least 3 of the function’s solutions, write those solutions as ordered pairs, plot the ordered pairs on a coordinate plane, and then draw a line or curve through the pattern formed by the points. Typically, integer x -values such as − 1, 0, and 1 are used to find solutions, but any x -value in the function’s domain can used.
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