Here are the essential concepts you must grasp in order to answer the question correctly.
Ordered Pairs
Ordered pairs are pairs of numbers that represent coordinates on a Cartesian plane, typically written as (x, y). In the context of equations, they are derived by substituting values for x into the equation to find corresponding y values. For the equation y = √x - 3, selecting various x values allows us to calculate y, forming a set of ordered pairs that can be plotted on a graph.
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Graphing Functions
Graphing functions involves plotting the ordered pairs derived from an equation on a coordinate plane to visualize the relationship between the variables. For the equation y = √x - 3, the graph will show how y changes as x varies, illustrating the function's behavior, including its domain and range. Understanding how to graph helps in interpreting the function's characteristics and solutions.
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Square Root Function
The square root function, denoted as √x, is a fundamental mathematical function that returns the non-negative square root of x. It is defined only for non-negative values of x, meaning its domain is [0, ∞). In the equation y = √x - 3, the graph will reflect this characteristic, starting at the point (0, -3) and increasing as x increases, which is essential for understanding the function's behavior.
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