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 x-values in order. If the y-values get larger as x gets larger, the function is increasing in that interval. Check each pair systematically!
It means the function is increasing for all x-values greater than 0 within the given domain. So from x = 0 onwards, the function keeps going up.
Because the function continues increasing after x = 2! Look at the table: from x = 2 to x = 3, y goes from 1 to 5, and from x = 3 to x = 5, y goes from 5 to 9.
Not every point, but check consecutive intervals. Look at each pair of neighboring x-values to see if y increases, decreases, or stays the same.
Then you need to identify specific intervals where it increases. A function can increase in one part of its domain and decrease in another - that's totally normal!
No! Increasing or decreasing describes behavior over an interval (range of x-values), not at individual points. You need at least two points to compare.
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