In what domain is the function increasing?
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In what domain is the function increasing?
Let's first remember that a function is increasing if both the X and Y values are increasing simultaneously.
Conversely, a function is decreasing if the X values are increasing while the Y values are decreasing simultaneously.
In the graph shown, we can see that the function is increasing in every domain and therefore the function is increasing for all values of X.
All values of
Does the function in the graph decrease throughout?
Follow the curve with your finger from left to right. If the curve consistently moves upward (even if it curves), then it's increasing in that interval.
Horizontal sections are neither increasing nor decreasing - they're constant. In this problem, the curve continuously rises, so there are no flat sections.
Absolutely! Many functions have different behaviors in different intervals. That's why we specify the domain where the function is increasing.
The curve bends, but it never goes downward. Even when curving, as long as the Y-values keep getting larger as X increases, the function is still increasing.
A decreasing function would slope downward from left to right. The Y-values would get smaller as the X-values get larger.
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