In which domain is the function increasing?
We have hundreds of course questions with personalized recommendations + Account 100% premium
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 for the turning point where the pattern changes. In this table, f(x) decreases until x = -0.5 (where f(x) = 6), then increases for all x > -0.5.
Then you'll have multiple increasing intervals! You need to identify each separate interval where the function consistently increases, not just the overall trend.
Because the function actually starts increasing at x = -0.5, not x = 0. From (-0.5, 6) to (0, 11), f(x) increases by 5 units, so the increasing domain begins earlier.
Yes! Calculate between consecutive points. If the slope is positive, the function is increasing in that interval.
Increasing: As x gets larger, f(x) gets larger too
Decreasing: As x gets larger, f(x) gets smaller
Think of it like walking uphill vs downhill!
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