Function Analysis: Finding Decreasing Intervals Between x=-0.45 and x=0.45

In which field does the function decrease?

Green line x=0.45 x=-0.45

Blue line x=0.45 x=0.45

–2–2–2–1–1–1111222333–1–1–1111000

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Step-by-step video solution

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00:00 Find the domain where the function decreases
00:03 The function decreases when X values increase and Y values decrease
00:07 Let's start by finding the domains where the function increases
00:13 The function decreases between the increasing domains of the function
00:18 Let's find the exact start and end points of the decreasing domain
00:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In which field does the function decrease?

Green line x=0.45 x=-0.45

Blue line x=0.45 x=0.45

–2–2–2–1–1–1111222333–1–1–1111000

2

Step-by-step solution

Let's remember that the function increases if the x x and y y values increase simultaneously.

On the other hand, the function decreases if the x x values increase while the y y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where 0.45<x<0.45 -0.45 < x < 0.45 , meaning the y y values are increasing.

3

Final Answer

0.45>x>0.45 0.45 > x > -0.45

Practice Quiz

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Is the function in the graph decreasing? yx

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