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
Does the function in the graph decrease throughout?
Look at consecutive x-values from left to right. If the f(x) values get larger as x gets larger, the function is increasing in that interval.
From the table, you can see that from x=-4 to x=0, the f(x) values go down (4→1→0), so the function is decreasing in that interval.
This means x is between 0 and 10. It's the same as writing . Both notations describe the interval where the function increases.
Yes! A function can increase in some intervals and decrease in others. That's exactly what happens here - it decreases from x=-4 to x=0, then increases from x=0 to x=10.
After x=10, the function starts decreasing again. At x=10, f(x)=0, then at x=14, f(x)=-7, showing the function values are getting smaller.
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