In which domain does the function increase?
Green line:
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In which domain does the function increase?
Green line:
The function increases if X values and Y values increase simultaneously.
In this function, despite its unusual form, we can observe that the function continues to increase according to the definition at all times,
Furthermore there is no stage where the function decreases.
Therefore, we can say that the function increases for all X, there is no X we can input where the function will be decreasing.
All values of
Is the function in the graph decreasing?
The green vertical line at is just a reference marker. It doesn't affect whether the function is increasing - it's simply showing a specific x-value on the graph.
Move your eyes from left to right along the curve. If the function consistently goes upward (or stays level), it's increasing. If it ever goes downward, it's decreasing in that interval.
Yes! Some functions increase for all real values of x. This means no matter what x-value you choose, the function keeps rising as x gets larger.
If a function is flat (horizontal), it's neither increasing nor decreasing - it's constant. But if it never goes downward anywhere, we can still say it's non-decreasing overall.
Looking at the graph, the function increases everywhere - both before and after x = 0 and x = -0.8. There's no point where it starts decreasing, so the domain is all real numbers.
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