Here are the essential concepts you must grasp in order to answer the question correctly.
X-Intercepts
X-intercepts are the points where a graph crosses the x-axis. At these points, the value of y is zero. To find the x-intercepts, one can set the function equal to zero and solve for x. In graphical terms, these are the horizontal intersections of the curve with the x-axis.
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Y-Intercepts
Y-intercepts are the points where a graph crosses the y-axis, where the value of x is zero. To determine the y-intercept, substitute x = 0 into the function and solve for y. Graphically, these points represent the vertical intersections of the curve with the y-axis.
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Graph Interpretation
Graph interpretation involves analyzing the visual representation of a function to extract meaningful information, such as intercepts, trends, and behavior at extremes. Understanding how to read the axes, tick marks, and the shape of the graph is crucial for accurately identifying key features like intercepts and overall function behavior.
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Graphs and Coordinates - Example