Find values using function graphs

Learning Objectives Identify the x-axis as the input (independent variable) and the y-axis as the output (dependent variable) on a function graph. Locate a specific input value (x) on the horizontal axis and find its corresponding output value (y) on the vertical axis using the graph. Locate a specific output value (y) on the vertical axis and find its corresponding input value (x) on the horizontal axis using the graph. Interpret the meaning of an ordered pair (x, y) as a point on a function graph, representing an input-output relationship. Determine if a given point lies on the graph of a function. Solve simple real-world problems by extracting information from function graphs. Ever wondered how meteorologists predict future temperatures or how doctors track a patient&#039...

TermDefinitionExample FunctionA special relationship where each input value has exactly one output value.In the relationship 'number of hours worked' to 'money earned', for each number of hours, there's only one amount of money earned. Graph of a FunctionA visual representation of a function on a coordinate plane, where points (x, y) show the input-output pairs.A straight line drawn on a grid showing how the distance traveled changes with time. x-axis (Input/Independent Variable)The horizontal number line on a coordinate plane, typically representing the input values of a function.On a graph showing temperature over time, the x-axis would represent 'time'. y-axis (Output/Dependent Variable)The vertical number line on a coordinate plane, typically represe...

Finding Output (y) for a Given Input (x) from a Graph To find the output value \(y\) for a specific input \(x\) from a function graph, first locate \(x\) on the horizontal (\(x\)-axis). Then, move vertically from \(x\) until you intersect the graph. Finally, move horizontally from that intersection point to the vertical (\(y\)-axis) to read the corresponding \(y\) value. This rule helps you determine the result of a function when you know what you're putting into it. It's like asking, 'If I use this much, what will I get?' Finding Input (x) for a Given Output (y) from a Graph To find the input value \(x\) for a specific output \(y\) from a function graph, first locate \(y\) on the vertical (\(y\)-axis). Then, move horizontally from \(y\) until you intersect...