Finding Decreasing Intervals: Analyzing Function Behavior on a Grid

In which domain does the function decrease?

x-210-1.58-0.560021353.5759

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the decreasing domain of the function
00:03 The function decreases when X values increase and Y values decrease
00:07 Let's observe from the table when Y values are decreasing
00:11 From here Y values start to increase - meaning not a decreasing domain
00:22 We'll deduce the decreasing domain from this
00:29 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

In which domain does the function decrease?

x-210-1.58-0.560021353.5759

2

Step-by-step solution

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 wherex<0 x < 0 X values increase and Y values decrease simultaneously.

Therefore, the function decreases in the domain where

x<0 x < 0

3

Final Answer

x<0 x<0

Practice Quiz

Test your knowledge with interactive questions

Is the function in the graph decreasing? yx

🌟 Unlock Your Math Potential

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

More Questions

Click on any question to see the complete solution with step-by-step explanations