Finding Decreasing Intervals: Analyzing Function Values from -2 to 10

In which domain does the function decrease?

f(x)x-210-1.58-160423353.57109

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Step-by-step video solution

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00:00 Find the domain of decrease of the function
00:04 The function decreases when X values increase and Y values decrease
00:11 From this point the function starts to increase
00:19 We can deduce from this the domain of decrease
00:28 And this is the solution to the question

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1

Understand the problem

In which domain does the function decrease?

f(x)x-210-1.58-160423353.57109

2

Step-by-step solution

Let's remember that a function is increasing if both x x values and y y values are increasing simultaneously.

A function is decreasing if x x values are increasing while y y values are decreasing simultaneously.

According to the value table, we can see that in the domain x<2 x < 2 , thex x values are increasing while the y y values are decreasing simultaneously. Therefore, the function is decreasing in the domain x<2 x < 2 .

3

Final Answer

x<2 x<2

Practice Quiz

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Is the function in the graph decreasing? yx

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