Does the function in the graph decrease throughout?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Does the function in the graph decrease throughout?
To solve this problem, we'll begin by examining the graph of the function provided:
Upon inspecting the graph, we find:
- There are sections where the function's y-values appear to remain constant or potentially rise as the x-values increase. Specifically, even if the function decreases in major portions, any interval where it doesn't means the function cannot be classified as decreasing throughout.
Thus, the function does not strictly decrease on the entire interval shown. Therefore, the solution to the problem is No.
No
Does the function in the graph decrease throughout?
A function decreases throughout when every single point has a smaller y-value than all points to its left. If even one tiny section stays flat or goes up, the function is not decreasing throughout.
Look carefully at the graph's path. Even if a section appears nearly horizontal, if it's not perfectly flat or if it rises even slightly, the function isn't decreasing there.
No! A decreasing function can decrease slowly in some parts and quickly in others. What matters is that it never stops decreasing - no flat spots, no increases allowed.
When in doubt, look for any evidence of non-decreasing behavior. Even one questionable flat section is enough to conclude the function doesn't decrease throughout.
Yes, but you analyze each continuous piece separately. However, this graph appears to be one continuous curve, so examine the whole path for any non-decreasing segments.
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