Complete a table for a function graph

Learning Objectives Identify the x-axis and y-axis on a coordinate plane. Locate a given x-value (input) on a function's graph. Determine the corresponding y-value (output) for a given x-value from a graph. Locate a given y-value (output) on a function's graph. Determine the corresponding x-value (input) for a given y-value from a graph. Accurately complete a table of values using information extracted from a function's graph. Understand the relationship between ordered pairs on a graph and entries in a table of values. Ever wondered how a graph can tell you a story about numbers? 📈 Imagine you have a map, and you need to find specific locations – that's what we'll do with function graphs! In this lesson, you'll learn how to read information...

TermDefinitionExample FunctionA special relationship where each input (x-value) has exactly one output (y-value).The relationship between the number of hours worked and the money earned is a function, as each hour worked corresponds to a unique amount earned. Graph of a FunctionA visual representation of a function on a coordinate plane, where each point $(x, y)$ represents an input-output pair.A straight line on a coordinate plane showing the relationship $y=2x+1$ is a graph of a function. Table of ValuesAn organized list, usually with two columns, that shows the input (x-values) and their corresponding output (y-values) for a function.A table with columns for 'Hours Worked' (x) and 'Money Earned' (y) is a table of values. Input (x-value)The independent variable in a...

Rule for Finding Output (y) from Input (x) To find the output $y$ for a given input $x$: Start at the $x$-value on the horizontal axis. Move vertically (up or down) until you reach the function's graph. From that point on the graph, move horizontally (left or right) until you reach the vertical axis. The value on the vertical axis is the corresponding $y$-value. This rule is used when you have an $x$-value in your table and need to find its matching $y$-value from the graph. It helps you complete the ordered pair $(x, y)$. Rule for Finding Input (x) from Output (y) To find the input $x$ for a given output $y$: Start at the $y$-value on the vertical axis. Move horizontally (left or right) until you reach the function's graph. From that point on the graph, move vertica...