Find the Decreasing Domain: Analyzing Function f(x) from -2 to 19

In which domain does the function decrease?

f(x)x-24-110011721151671911

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Step-by-step video solution

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00:00 Find the domain of decrease of the function
00:03 The function decreases when X values increase and Y values decrease
00:07 From this point the function begins to increase
00:18 We'll deduce from this the domain of decrease
00:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In which domain does the function decrease?

f(x)x-24-110011721151671911

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

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Is the function in the graph decreasing? yx

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