Finding Decreasing Intervals: Analyzing f(x) Value Table from 0 to 7

In which domain does the function decrease?

f(x)x001223354352607-4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's find where our function goes down.
00:06 The function decreases when X goes up and Y goes down. Notice the trend.
00:13 At this point, watch closely as the function begins to decline.
00:23 From here, we can determine where the function is decreasing.
00:32 And that's the solution to our problem!

Step-by-step written solution

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1

Understand the problem

In which domain does the function decrease?

f(x)x001223354352607-4

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>3 x > 3 X values increase and Y values decrease simultaneously.

Therefore, the function decreases in the domain where

x>3 x > 3

3

Final Answer

x>3 x>3

Practice Quiz

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Is the function in the graph decreasing? yx

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