In what domain does the function increase?
We have hundreds of course questions with personalized recommendations + Account 100% premium
In what domain does the function increase?
Let's remember that the function increases if the X values and Y values increase simultaneously.
On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.
In the given graph, we notice that the function increases in the domain where , meaning the Y values are increasing.
Is the function in the graph decreasing?
A function is increasing when both x and y values go up together as you move from left to right. If y goes down while x goes up, the function is decreasing.
Looking at the left half of the semicircle, as x moves from negative values toward 0, the y values rise upward. On the right side (x > 0), the y values fall downward, so it's decreasing there.
The domain of increase is the set of all x-values where the function is going upward. It's the horizontal span where the graph rises as you read from left to right.
Yes! Many functions increase in some intervals and decrease in others. Always check each section of the graph separately to find all increasing domains.
Use inequality notation like for this problem, or interval notation like . Both show the same set of x-values.
Get unlimited access to all 18 Functions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime