In which domain is the function increasing?
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In which domain is the function increasing?
Remember that the function increases when X values and Y values increase simultaneously.
On the other hand, the function decreases when X values increase and Y values decrease simultaneously.
According to the given value table, we can see that in the domain wherethe X values and Y values increase simultaneously.
Therefore, the function increases in the domain where
Is the function in the graph decreasing?
Look at consecutive points! If both X and Y values go up together, the function is increasing in that interval. For example: from X = -10 to X = -4, Y goes from 4 to 8.
From the table, Y-values only increase consistently when X goes from -10 to -2. After X = -2, the Y-values start decreasing (from 11 to 10 to 1), so the function stops being increasing.
A function decreases when X-values increase but Y-values go down. In this table, from X = -2 to X = 5, Y drops from 11 down to -9.
Yes! Functions can increase in some intervals and decrease in others. That's why we specify where (the domain) the function has each behavior.
Yes, check consecutive pairs of points! Compare (X₁, Y₁) with (X₂, Y₂) to see if both X and Y increase together. This helps you find the exact intervals.
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