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 our given value table, we can see that X values increase while Y values decrease simultaneously.
Therefore, the function decreases throughout its domain, and there is no domain where it increases.
No upward dominance
Is the function in the graph decreasing?
A function is increasing when y-values get larger as x-values get larger. Positive function values just means f(x) > 0. A function can have positive values but still be decreasing!
Look at consecutive points in order. If the y-values get bigger as the x-values get bigger, it's increasing. In our table: 4 → 1 → 0 → -1 → -2 → -5 → -7 → -9 (all decreasing!).
Yes! Functions can be increasing in some intervals and decreasing in others. That's why we look for domains where the function increases, not the whole function.
'No upward dominance' means there's no interval where the function consistently goes up. Since our function only decreases (goes down), there's no domain where it increases.
The answer would be 'All x' only if the function was increasing everywhere. Our function decreases at every interval, so it's never increasing anywhere!
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