To determine which graph is increasing for all values of \(x\), we need to analyze the properties of each graph. Typically, a graph is increasing if, as \(x\) moves from left to right, \(y\) consistently increases. Given that I cannot see the actual graphs, I can provide you with guidelines to identify them:
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Look for slopes: If the slope of the graph is positive throughout the entire range of \(x\), then it is increasing. A flat line (slope of zero) or a negative slope at any part of the graph would imply that it is not increasing.
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Examine behavior at the ends: Sometimes, a graph might go up for certain sections and down for others. Ensure you check both ends of the graph to confirm it remains consistently increasing.
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Check specific points: If you can identify any points on the graph, check their \(y\)-values as \(x\) increases to see if they also increase.
Please apply these guidelines to your graphs, and you should be able to determine which one is increasing for all values of \(x\). If you provide specific characteristics or equations of each graph, I could give a more detailed answer.